Marco Cappiello

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All published works

Action	Title	Year	Authors
+	Schrödinger type equations with singular coefficients and lower order terms	2025	Alexandre Arias Alessia Ascanelli Marco Cappiello Claudia Garetto
+	Systems of differential operators in time-periodic Gelfand–Shilov spaces	2024	Fernando de Ávila Silva Marco Cappiello Alexandre Kirilov
+ PDF Chat	Schwartz very weak solutions for Schr\"odinger type equations with distributional coefficients	2024	Alexandre Arias Junior Alessia Ascanelli Marco Cappiello Claudia Garetto
+ PDF Chat	The Cauchy problem for $p$-evolution equations with variable coefficients in Gevrey classes	2024	Alexandre Arias Junior Alessia Ascanelli Marco Cappiello Eliakim Cleyton Machado
+	Globally solvable time-periodic evolution equations in Gelfand–Shilov classes	2024	Fernando de Ávila Silva Marco Cappiello
+	On the Cauchy problem for p-evolution equations with variable coefficients: A necessary condition for Gevrey well-posedness	2024	Alexandre Arias Alessia Ascanelli Marco Cappiello
+ PDF Chat	Propagation of singularities for anharmonic Schr\"odinger equations	2024	Marco Cappiello Luigi Rodino Patrik Wahlberg
+ PDF Chat	Propagation of anisotropic Gabor singularities for Schrödinger type equations	2024	Marco Cappiello Luigi Rodino Patrik Wahlberg
+ PDF Chat	Systems of differential operators in time-periodic Gelfand-Shilov spaces	2024	Fernando de Ávila Silva Marco Cappiello Alexandre Kirilov
+ PDF Chat	Globally solvable time-periodic evolution equations in Gelfand-Shilov classes	2024	Marco Cappiello Fernando de Ávila Silva
+ PDF Chat	Schr\"odinger type equations with singular coefficients and lower order terms	2024	Alexandre Arias Junior Alessia Ascanelli Marco Cappiello Claudia Garetto
+	KdV-type equations in projective Gevrey spaces	2023	Alexandre Arias Alessia Ascanelli Marco Cappiello
+	Propagation of anisotropic Gabor singularities for Schrödinger type equations	2023	Marco Cappiello Luigi Rodino Patrik Wahlberg
+	On the Cauchy problem for $p$-evolution equations with variable coefficients: a necessary condition for Gevrey well-posedness	2023	Alexandre Arias Junior Alessia Ascanelli Marco Cappiello
+ PDF Chat	Gevrey well-posedness for 3-evolution equations with variable coefficients	2022	Alexandre Arias Alessia Ascanelli Marco Cappiello
+ PDF Chat	The Cauchy problem for 3-evolution equations with data in Gelfand–Shilov spaces	2022	Alexandre Arias Alessia Ascanelli Marco Cappiello
+ PDF Chat	Time-periodic Gelfand-Shilov spaces and global hypoellipticity on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">T</mml:mi><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>	2022	Fernando de Ávila Silva Marco Cappiello
+	KdV-type equations in projective Gevrey classes	2022	Alexandre Arias Junior Alessia Ascanelli Marco Cappiello
+	Time-periodic Gelfand-Shilov spaces and global hypoellipticity on $\mathbb{T} \times \mathbb{R}^n$	2021	Fernando de Ávila Silva Marco Cappiello
+	Gevrey well posedness for $3$-evolution equations with variable coefficients	2021	Alexandre Arias Alessia Ascanelli Marco Cappiello
+	Time-periodic Gelfand-Shilov spaces and global hypoellipticity on $\mathbb{T} \times \mathbb{R}^n$	2021	Fernando de Ávila Silva Marco Cappiello
+ PDF Chat	On the Sharp Gårding Inequality for Operators with Polynomially Bounded and Gevrey Regular Symbols	2020	Alexandre Arias Marco Cappiello
+	Semilinear p-Evolution Equations in Weighted Sobolev Spaces	2020	Alessia Ascanelli Marco Cappiello
+ PDF Chat	Lagrangian Distributions and Fourier Integral Operators with Quadratic Phase Functions and Shubin Amplitudes	2020	Marco Cappiello René Schulz Patrik Wahlberg
+	The Cauchy problem for $3$-evolution equations with data in Gelfand-Shilov spaces	2020	Alexandre Arias Junior Alessia Ascanelli Marco Cappiello
+ PDF Chat	Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces	2019	Marco Cappiello Todor Gramchev Stevan Pilipović Luigi Rodino
+ PDF Chat	Pseudo-Differential Calculus in Anisotropic Gelfand–Shilov Setting	2019	Ahmed Abdeljawad Marco Cappiello Joachim Toft
+	Schrödinger-type equations in Gelfand-Shilov spaces	2019	Alessia Ascanelli Marco Cappiello
+ PDF Chat	Shubin type Fourier integral operators and evolution equations	2019	Marco Cappiello René Schulz Patrik Wahlberg
+	Schr\"odinger-type equations in Gelfand-Shilov spaces	2018	Alessia scanelli Marco Cappiello
+	Shubin type Fourier integral operators and evolution equations	2018	Marco Cappiello René Schulz Patrik Wahlberg
+	Pseudo-differential calculus in anisotropic Gelfand-Shilov setting	2018	Ahmed Abdeljawad Marco Cappiello Joachim Toft
+	Lagrangian distributions and Fourier integral operators with quadratic phase functions and Shubin amplitudes.	2018	Marco Cappiello René Schulz Patrik Wahlberg
+ PDF Chat	Conormal distributions in the Shubin calculus of pseudodifferential operators	2018	Marco Cappiello René Schulz Patrik Wahlberg
+	Schrödinger-type equations in Gelfand-Shilov spaces	2018	Alessia scanelli Marco Cappiello
+	Lagrangian distributions and Fourier integral operators with quadratic phase functions and Shubin amplitudes	2018	Marco Cappiello René Schulz Patrik Wahlberg
+	Shubin type Fourier integral operators and evolution equations	2018	Marco Cappiello René Schulz Patrik Wahlberg
+	Pseudo-differential calculus in anisotropic Gelfand-Shilov setting	2018	Ahmed Abdeljawad Marco Cappiello Joachim Toft
+ PDF Chat	Pseudo-differential operators in a Gelfand-Shilov setting	2016	Marco Cappiello Joachim Toft
+	Pointwise decay and smoothness for semilinear elliptic equations and travelling waves	2016	Marco Cappiello Fabio Nicola
+	Semilinear pseudodifferential equations in spaces of tempered ultradistributions	2016	Marco Cappiello Stevan Pilipović Bojan Prangoski
+ PDF Chat	Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions	2016	Marco Cappiello René Schulz
+	Anisotropic Shubin operators and eigenfunctions expansions in Gelfand-Shilov spaces	2016	Marco Cappiello Todor Gramchev Stevan Pilipović Luigi Rodino
+ PDF Chat	Sharp decay estimates and smoothness for solutions to nonlocal semilinear equations	2015	Marco Cappiello Fabio Nicola
+ PDF Chat	Decay estimates for solutions of nonlocal semilinear equations	2015	Marco Cappiello Todor Gramchev Luigi Rodino
+	Pseudo-differential operators in a Gelfand-Shilov setting	2015	Marco Cappiello Joachim Toft
+ PDF Chat	Decay estimates for solutions of nonlocal semilinear equations	2015	Marco Cappiello Todor Gramchev Luigi Rodino
+ PDF Chat	Weighted energy estimates for p-evolution equations in SG classes	2015	Alessia Ascanelli Marco Cappiello
+ PDF Chat	On the Inverse to the Harmonic Oscillator	2015	Marco Cappiello Luigi Rodino Joachim Toft
+	Sharp decay estimates and smoothness for solutions to nonlocal semilinear equations	2015	Marco Cappiello Fabio Nicola
+ PDF Chat	Some remarks on the radius of spatial analyticity for the Euler equations	2015	Marco Cappiello Fabio Nicola
+	Pseudo-differential operators in a Gelfand-Shilov setting	2015	Marco Cappiello Joachim Toft
+	Sharp decay estimates and smoothness for solutions to nonlocal semilinear equations	2015	Marco Cappiello Fabio Nicola
+	Semilinear pseudodifferential equations in spaces of tempered ultradistributions	2014	Marco Cappiello Stevan Pilipović Bojan Prangoski
+ PDF Chat	Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultradistributions	2014	Marco Cappiello Stevan Pilipović Bojan Prangoski
+ PDF Chat	Radial symmetric elements and the Bargmann transform	2014	Marco Cappiello Luigi Rodino Joachim Toft
+	Some remarks on the radius of spatial analyticity for the Euler equations	2014	Marco Cappiello Fabio Nicola
+	Radial symmetric elements and the Bargmann transform	2014	Marco Cappiello Luigi Rodino Joachim Toft
+ PDF Chat	On the radius of spatial analyticity for semilinear symmetric hyperbolic systems	2014	Marco Cappiello Piero DʼAncona Fabio Nicola
+	Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultraditributions	2014	Marco Cappiello Stevan Pilipović Bojan Prangoski
+	Semilinear pseudodifferential equations in spaces of tempered ultradistributions	2014	Marco Cappiello Stevan Pilipović Bojan Prangoski
+	Radial symmetric elements and the Bargmann transform	2014	Marco Cappiello Luigi Rodino Joachim Toft
+	Some remarks on the radius of spatial analyticity for the Euler equations	2014	Marco Cappiello Fabio Nicola
+	Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions	2013	Marco Cappiello René Schulz
+	On the radius of spatial analyticity for semilinear symmetric hyperbolic systems	2013	Marco Cappiello Piero DʼAncona Fabio Nicola
+	On the inverse to the harmonic oscillator	2013	Marco Cappiello Luigi Rodino Joachim Toft
+	Weighted energy estimates for $p$-evolution equations	2013	Alessia Ascanelli Marco Cappiello
+	Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions	2013	Marco Cappiello René Schulz
+	On the radius of spatial analyticity for semilinear symmetric hyperbolic systems	2013	Marco Cappiello Piero DʼAncona Fabio Nicola
+	On the inverse to the harmonic oscillator	2013	Marco Cappiello Luigi Rodino Joachim Toft
+	On the holomorphic extension of solutions of elliptic pseudodifferential equations	2012	Marco Cappiello Fabio Nicola
+	Decay estimates for solutions of nonlocal semilinear equations	2012	Marco Cappiello Todor Gramchev Luigi Rodino
+	Regularity and decay of solutions of nonlinear harmonic oscillators	2011	Marco Cappiello Fabio Nicola
+	Exponential estimates and holomorphic extensions for semilinear elliptic pseudodifferential equations	2011	Marco Cappiello Todor Gramchev Luigi Rodino
+	Regularity and decay of solutions of nonlinear harmonic oscillators	2011	Marco Cappiello Fabio Nicola
+ PDF Chat	Holomorphic extension of solutions of semilinear elliptic equations	2011	Marco Cappiello Fabio Nicola
+	Regularity and decay of solutions of nonlinear harmonic oscillators	2011	Marco Cappiello Fabio Nicola
+	Cauchy problems for hyperbolic systems in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math> with irregular principal symbol in time and for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mo stretchy="false">\|</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">\|</mml:mo><mml:mo>→</mml:mo><mml:mo>∞</mml:mo></…	2010	Marco Cappiello Daniel Gourdin Todor Gramchev
+	The Cauchy problem for finitely degenerate hyperbolic equations with polynomial coefficients	2010	Alessia Ascanelli Marco Cappiello
+ PDF Chat	Entire extensions and exponential decay for semilinear elliptic equations	2010	Marco Cappiello Todor Gramchev Luigi Rodino
+	Holomorphic extension of solutions of semilinear elliptic equations	2010	Marco Cappiello Fabio Nicola
+ PDF Chat	Sub-Exponential Decay and Uniform Holomorphic Extensions for Semilinear Pseudodifferential Equations	2010	Marco Cappiello Todor Gramchev Luigi Rodino
+	Holomorphic extension of solutions of semilinear elliptic equations	2010	Marco Cappiello Fabio Nicola
+	Decay and regularity for harmonic oscillator-type equations	2009	Marco Cappiello Todor Gramchev Luigi Rodino
+	Hölder continuity in time for SG hyperbolic systems	2007	Alessia Ascanelli Marco Cappiello
+	Semilinear pseudo-differential equations and travelling waves	2007	Marco Cappiello Todor Gramchev Luigi Rodino
+	Gelfand-Shilov Spaces, Pseudo-differential Operators and Localization Operators	2007	Marco Cappiello Todor Gramchev Luigi Rodino
+	The Cauchy problem for quasilinear SG‐hyperbolic systems	2007	Marco Cappiello Luisa Zanghirati
+	Exponential Decay and Regularity for SG-elliptic Operators with Polynomial Coefficients	2007	Marco Cappiello Todor Gramchev Luigi Rodino
+	Wave front set at infinity for tempered ultradistributions and hyperbolic equations	2006	Marco Cappiello
+ PDF Chat	SG-Pseudodifferential Operators and Gelfand-Shilov Spaces	2006	Marco Cappiello Luigi Rodino
+	Log-Lipschitz regularity for SG hyperbolic systems	2006	Alessia Ascanelli Marco Cappiello
+	Quasilinear Hyperbolic Equations with SG-Coefficients	2006	Marco Cappiello Luisa Zanghirati
+	Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients	2006	Marco Cappiello Todor Gramchev Luigi Rodino
+	Fourier Integral Operators and Gelfand-Shilov Spaces	2005	Marco Cappiello
+ PDF Chat	Fourier integral operators of infinite order and applications to SG-hyperbolic equations	2004	Marco Cappiello
+	PSEUDODIFFERENTIAL OPERATORS AND SPACES OF TYPE S	2003	Marco Cappiello
+	Pseudodifferential parametrices of infinite order for SG-hyperbolic problems.	2003	Marco Cappiello
+	Gelfand spaces and pseudodifferential operators of infinite order in ℝn	2002	Marco Cappiello

Common Coauthors

Coauthor	Papers Together
Luigi Rodino	23
Alessia Ascanelli	19
Fabio Nicola	17
Todor Gramchev	14
Joachim Toft	12
René Schulz	10
Patrik Wahlberg	10
Alexandre Arias	7
Fernando de Ávila Silva	7
Stevan Pilipović	7
Alexandre Arias Junior	6
Bojan Prangoski	5
Ahmed Abdeljawad	3
Claudia Garetto	3
Piero D’Ancona	3
Luisa Zanghirati	2
Alexandre Kirilov	2
Alessia scanelli	2
Daniel Gourdin	1
Eliakim Cleyton Machado	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients	2006	Marco Cappiello Todor Gramchev Luigi Rodino	27
+	The analysis of linear partial differential operators	1990	Lars Hörmander	24
+ PDF Chat	Characterizations of the Gelfand-Shilov spaces via Fourier transforms	1996	Jaeyoung Chung Soon‐Yeong Chung Dohan Kim	23
+ PDF Chat	Entire extensions and exponential decay for semilinear elliptic equations	2010	Marco Cappiello Todor Gramchev Luigi Rodino	23
+	The Technique of Pseudodifferential Operators	1995	H. O. Cordes	21
+	Operatori pseudo-differenziali inR n e applicazioni	1972	Cesare Parenti	19
+	Spaces of weighted symbols and weighted sobolev spaces on manifolds	1987	Elmar Schrohe	18
+ PDF Chat	Sub-Exponential Decay and Uniform Holomorphic Extensions for Semilinear Pseudodifferential Equations	2010	Marco Cappiello Todor Gramchev Luigi Rodino	17
+	Fractional derivative estimates in Gevrey spaces, global regularity and decay for solutions to semilinear equations in Rn	2003	H. A. Biagioni Todor Gramchev	17
+ PDF Chat	Pseudodifferential Operators and Spectral Theory	1987	Mikhail Shubin	16
+	Decay and analyticity of solitary waves	1997	Jerry L. Bona Yi A. Li	16
+ PDF Chat	Global Pseudo-Differential Calculus on Euclidean Spaces	2010	Fabio Nicola Luigi Rodino	16
+ PDF Chat	SG-Pseudodifferential Operators and Gelfand-Shilov Spaces	2006	Marco Cappiello Luigi Rodino	16
+	Nuclearity and other properties of spaces of type 𝑆*	1970	B. S. Mitjagin	15
+	Pseudo-Differential Operators, Singularities, Applications	1997	Yu. V. Egorov Bert‐Wolfgang Schulze	14
+	Pseudodifferential operators of infinite order and Gevrey classes	1985	Luisa Zanghirati	14
+	Regularity and decay of solutions of nonlinear harmonic oscillators	2011	Marco Cappiello Fabio Nicola	13
+	Hölder continuity in time for SG hyperbolic systems	2007	Alessia Ascanelli Marco Cappiello	13
+	Semilinear pseudo-differential equations and travelling waves	2007	Marco Cappiello Todor Gramchev Luigi Rodino	13
+ PDF Chat	Fourier integral operators of infinite order and applications to SG-hyperbolic equations	2004	Marco Cappiello	13
+ PDF Chat	Spaces of Test Functions via the STFT	2004	Karlheinz Gröchenig Georg Zimmermann	12
+	Conditions for correctness in Gevrey classes of the Cauchy problem for weakly hyperbolic equations	1977	Victor Ivrii	12
+	Fourier integral operators in SG classes II application to SG hyperbolic cauchy problems	1998	Sandro Coriasco	12
+	Pseudodifferential parametrices of infinite order for SG-hyperbolic problems.	2003	Marco Cappiello	12
+	Linear Partial Differential Operators In Gevrey Spaces	1993	Luigi Rodino	12
+	Schrödinger-type equations in Gelfand-Shilov spaces	2019	Alessia Ascanelli Marco Cappiello	11
+	Linear Partial Differential Operators in Gevrey Spaces	1993	Luigi Rodino	11
+	Well-posedness for degenerate Schrödinger equations	2014	Massimo Cicognani Michael Reissig	11
+	Analyticity of Solitary-Wave Solutions of Model Equations for Long Waves	1996	Yi A. Li Jerry L. Bona	11
+	Well-posedness of the Cauchy problem for p-evolution equations	2012	Alessia Ascanelli Chiara Boiti Luisa Zanghirati	11
+ PDF Chat	Holomorphic extension of solutions of semilinear elliptic equations	2011	Marco Cappiello Fabio Nicola	10
+	Global hypoellipticity and spectral theory	1996	Paolo Boggiatto Ernesto Buzano Luigi Rodino	10
+	The Bargmann transform on modulation and Gelfand–Shilov spaces, with applications to Toeplitz and pseudo-differential operators	2011	Joachim Toft	10
+	Lectures on exponential decay of solutions of second order elliptic equations : bounds on eigenfunctions of N-body Schrödinger operators	1983	Shmuel Agmon	10
+	Generalization of Zemanian Spaces of Generalized Functions which Have Orthonormal Series Expansions	1986	Stevan Pilipović	9
+ PDF Chat	The Hyperbolic Cauchy Problem	1991	Kunihiko Kajitani Tatsuo Nishitani	9
+	Cauchy problem for SG-hyperbolic equations with constant multiplicities	1999	Sandro Coriasco Luigi Rodino	9
+	Log-Lipschitz regularity for SG hyperbolic systems	2006	Alessia Ascanelli Marco Cappiello	8
+ PDF Chat	Pseudodifferential operators of infinite order in spaces of tempered ultradistributions	2013	Bojan Prangoski	8
+	The Cauchy problem for 𝑝-evolution equations	2010	Massimo Cicognani Ferruccio Colombini	8
+	Perturbative methods in scales of Banach spaces: applications for Gevrey regularity of solutions to semilinear partial differential equations	2003	Todor Vassilev Gramtchev	8
+	Exponential estimates for eigenfunctions of Schrödinger operators with rapidly increasing and discontinuous potentials	2004	Vladimir Rabinovich	8
+	Théorie spectrale pour des opérateurs globalement elliptiques	1984	Bernard Helffer	8
+	Fourier Integral Operators of Infinite Order on Gevrey Spaces. Applications to the Cauchy Problem for Hyperbolic Operators	1986	Lamberto Cattabriga Luisa Zanghirati	7
+	Spectral and Scattering Theory for the Laplacian on Asymptotically Euclidian Spaces	2020	Richard Melrose	7
+	Semilinear p-evolution equations in Sobolev spaces	2016	Alessia Ascanelli Chiara Boiti	7
+ PDF Chat	Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation	2005	Zoran Grujić Henrik Kalisch Jerry L. Bona	6
+ PDF Chat	Exponentially sparse representations of Fourier integral operators	2015	Elena Cordero Fabio Nicola Luigi Rodino	6
+ PDF Chat	Weighted energy estimates for p-evolution equations in SG classes	2015	Alessia Ascanelli Marco Cappiello	6
+ PDF Chat	Images of function and distribution spaces under the Bargmann transform	2016	Joachim Toft	6