Enrico Bernardi

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All published works

Action	Title	Year	Authors
+ PDF Chat	On some stochastic hyperbolic equations with symplectic characteristics	2024	Enrico Bernardi Leonardo Marconi
+ PDF Chat	Non trivial optimal sampling rate for estimating a Lipschitz-continuous function in presence of mean-reverting Ornstein-Uhlenbeck noise	2024	Enrico Bernardi Alberto Lanconelli Christopher S. A. Lauria Berk Tan Perçin
+ PDF Chat	A Novel Theoretical Framework for Exponential Smoothing	2024	Enrico Bernardi Alberto Lanconelli Christopher S. A. Lauria
+ PDF Chat	On a Class of Stochastic Hyperbolic Equations with Double Characteristics	2022	Enrico Bernardi Alberto Lanconelli
+ PDF Chat	A Log-Det Heuristics for Covariance Matrix Estimation: The Analytic Setup	2022	Enrico Bernardi Matteo Farnè
+ PDF Chat	A note about the invariance of the basic reproduction number for stochastically perturbed SIS models	2022	Enrico Bernardi Alberto Lanconelli
+ PDF Chat	Stochastic perturbation of a cubic anharmonic oscillator	2021	Enrico Bernardi Alberto Lanconelli
+	Real Data Empirical Applications	2021	Enrico Bernardi Silvia Romagnoli
+	A New Copula-Based Approach for Counting: The Distorted and the Limiting Case	2021	Enrico Bernardi Silvia Romagnoli
+	Counting a Random Event: Traditional Approach and New Perspectives	2021	Enrico Bernardi Silvia Romagnoli
+	Counting Statistics for Dependent Random Events	2021	Enrico Bernardi Silvia Romagnoli
+	On a general stochastic differential equation for SIS epidemic models	2020	Enrico Bernardi Alberto Lanconelli
+	A note about the invariance of the basic reproduction number for stochastically perturbed SIS models	2020	Enrico Bernardi Alberto Lanconelli
+ PDF Chat	A general model system related to affine stochastic differential equations	2020	Enrico Bernardi Vinayak Chuni Alberto Lanconelli
+	Stochastic perturbation of a cubic anharmonic oscillator	2019	Enrico Bernardi Alberto Lanconelli
+ PDF Chat	On a Class of Stochastic Differential Equations with Random and Hölder Continuous Coefficients Arising in Biological Modeling	2019	Enrico Bernardi Vinayak Chuni Alberto Lanconelli
+ PDF Chat	Cauchy problem for effectively hyperbolic operators with triple characteristics of variable multiplicity	2015	Enrico Bernardi Antonio Bove Vesselin Petkov
+ PDF Chat	Counterexamples to $C^{\infty}$ well posedness for some hyperbolic operators with triple characteristics	2015	Enrico Bernardi Tatsuo Nishitani
+	Counterexamples to $ C^{\infty} $ well posedness for some hyperbolic operators with triple characteristics	2014	Enrico Bernardi Tatsuo Nishitani
+ PDF Chat	Cauchy problem for effectively hyperbolic operators with triple characteristics	2013	Enrico Bernardi Antonio Bove Vesselin Petkov
+	The Cauchy Problem for Hyperbolic Operators with Double Characteristics in Presence of Transition	2012	Enrico Bernardi Cesare Parenti Alberto Parmeggiani
+ PDF Chat	ON THE CAUCHY PROBLEM FOR NON-EFFECTIVELY HYPERBOLIC OPERATORS: THE GEVREY 3 WELL-POSEDNESS	2011	Enrico Bernardi Tatsuo Nishitani
+ PDF Chat	Computing the volume of a high-dimensional semi-unsupervised hierarchical copula	2011	Enrico Bernardi Silvia Romagnoli
+ PDF Chat	On the Cauchy problem for noneffectively hyperbolic operators: The Gevrey 4 well-posedness	2011	Enrico Bernardi Tatsuo Nishitani
+ PDF Chat	Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity	2010	Enrico Bernardi Antonio Bove Vesselin Petkov
+	Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity	2010	Enrico Bernardi Antonio Bove Vesselin Petkov
+ PDF Chat	On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey 5 well-posedness	2008	Enrico Bernardi Tatsuo Nishitani
+	On an ODE relevant for the general theory of the hyperbolic Cauchy problem	2008	Enrico Bernardi Antonio Bove
+	On the Cauchy problem for some hyperbolic operator with double characteristics	2006	Enrico Bernardi Antonio Bove
+ PDF Chat	On a class of strongly hyperbolic systems	2005	Enrico Bernardi Antonio Bove
+	A remark on the Cauchy problem for a model hyperbolic operator	2003	Antonio Bove Enrico Bernardi
+	The Cauchy problem for hyperbolic systems with multiple characteristics	1998	Stefano Benvenuti Enrico Bernardi Antonio Bove
+ PDF Chat	On a conjecture of Treves: analytic hypoellipticity and Poisson strata	1998	Enrico Bernardi Antonio Bove David S. Tartakoff
+ PDF Chat	Well-posedness of the Cauchy problem for a class of hyperbolic operators with a stratified multiple variety: necessary conditions	1997	Enrico Bernardi Antonio Bove Tatsuo Nishitani
+ PDF Chat	Geometric transition for a class of hyperbolic operators with double characteristics	1997	Enrico Bernardi Antonio Bove
+ PDF Chat	Geometric Transition for a Class of Hyperbolic Operators with Double Characteristics	1995	Enrico Bernardi Antonio Bove
+ PDF Chat	Geometric transition for a class of hyperbolic operators with double characteristics	1995	Enrico Bernardi Antonio Bove
+	Geometric Results for a Class of Hyperbolic Operators with Double Characteristics ,II.	1993	Enrico Bernardi Antonio Bove Cesare Parenti
+ PDF Chat	The Cauchy Problem for Hyperbolic Operators with Triple Involutive Characteristics	1993	Enrico Bernardi
+	Remarks on symmetrization of 2 × 2 systems and the characteristic manifolds	1992	Enrico Bernardi Tatsuo Nishitani
+ PDF Chat	Levi conditions for hyperbolic operators with a stratified multiple variety	1992	Enrico Bernardi Antonio Bove Tatsuo Nishitani
+	Necessary and sufficient conditions for the well-posedness of the Cauchy problem for a class of hyperbolic operators with triple characteristics	1990	Enrico Bernardi Antonio Bove
+	Propagation of Gevrey singularities for a class of operators with triple characteristics, I	1990	Enrico Bernardi Antonio Bove
+	Propagation of Gevrey singularities for a class of operators with triple characteristics, II	1990	Enrico Bernardi Antonio Bove
+ PDF Chat	The Cauchy problem for a model equation with triple characteristics	1989	Enrico Bernardi
+	Propagation of singularities for hyperbolic operators with multiple involutive characteristics	1988	Enrico Bernardi
+ PDF Chat	The Cauchy problem for a class of hyperbolic operators with triple characteristics	1988	Enrico Bernardi Antonio Bove
+	On a class of hyperbolic operators with double characteristics	1988	Enrico Bernardi Antonio Bove Cesare Parenti
+ PDF Chat	Conditions de Levi pour le problème de Cauchy pour une classe d'équations hyperboliques à caractéristique triples	1988	Enrico Bernardi Antonio Bove
+	Geometric results for a class of hyperbolic operators with double characteristics	1988	Enrico Bernardi Antonio Bove
+ PDF Chat	On a class of second order Fuchsian hyperbolic equations	1986	Enrico Bernardi

Common Coauthors

Coauthor	Papers Together
Antonio Bove	23
Alberto Lanconelli	10
Silvia Romagnoli	5
Vesselin Petkov	4
Tatsuo Nishitani	4
Tatsuo Nishitani	4
Cesare Parenti	3
Christopher S. A. Lauria	2
Vinayak Chuni	2
Berk Tan Perçin	1
Matteo Farnè	1
Alberto Parmeggiani	1
Stefano Benvenuti	1
David S. Tartakoff	1
Leonardo Marconi	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Cauchy problem for differential equations with double characteristics	1977	Lars Hörmander	24
+	NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED	1974	Victor Ivrii Vesselin Petkov	19
+	The analysis of linear partial differential operators	1990	Lars Hörmander	12
+	Geometric Results for a Class of Hyperbolic Operators with Double Characteristics ,II.	1993	Enrico Bernardi Antonio Bove Cesare Parenti	9
+	Geometric results for a class of hyperbolic operators with double characteristics	1988	Enrico Bernardi Antonio Bove	8
+ PDF Chat	Local energy integrals for effectively hyperbolic operators II	1984	Tatsuo Nishitani	8
+ PDF Chat	The Cauchy problem for effectively hyperbolic operators	1983	Richard Melrose	7
+ PDF Chat	On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey 5 well-posedness	2008	Enrico Bernardi Tatsuo Nishitani	6
+	Singularities of solutions of the caught problem for symmetric hyperbolic systems	1984	Seiichiro Wakabayashi	6
+	The effectively hyperbolic Cauchy problem	1991	Tatsuo Nishitani	6
+	Quadratic hyperbolic operators	1991	Lars Hörmander	5
+	On the cauchy problem for weakly hyperbolic equations	1970	O A Oleĭnik	5
+ PDF Chat	Non effectively hyperbolic operators, Hamilton map and bicharacteristics	2004	Tatsuo Nishitani	5
+	Propagation des Singularites Gevery pour des Operateurs Hyperboliques	1988	Bernard Lascar	4
+	Necessary and sufficient conditions for the well-posedness of the Cauchy problem for a class of hyperbolic operators with triple characteristics	1990	Enrico Bernardi Antonio Bove	4
+ PDF Chat	The Cauchy problem for effectively hyperbolic equations (general cases)	1985	Nobuhisa Iwasaki	4
+	Propagation of Gevrey singularities for a class of operators with triple characteristics, I	1990	Enrico Bernardi Antonio Bove	4
+ PDF Chat	Hyperbolic operators with symplectic multiple characteristics	1989	Tatsuo Nishitani	3
+ PDF Chat	A Stochastic Differential Equation SIS Epidemic Model	2011	Alison Gray David Greenhalgh Lin Hu Xuerong Mao Jiafeng Pan	3
+ PDF Chat	The Cauchy Problem for Effectively Hyperbolic Equations (A Standard Type)	1984	Nobuhisa Iwasaki	3
+ PDF Chat	The Cauchy problem for hyperbolic operators of strong type	1994	Kunihiko Kajitani Seiichiro Wakabayashi Tatsuo Nishitani	3
+ PDF Chat	Computing the volume of a high-dimensional semi-unsupervised hierarchical copula	2011	Enrico Bernardi Silvia Romagnoli	3
+	The correctness of the Cauchy problem	1971	H. Flaschka Gilbert Strang	3
+	Asymptotic solutions of oscillatory initial value problems	1957	Peter D. Lax	3
+	CORRECTNESS OF THE CAUCHY PROBLEM IN GEVREY CLASSES FOR NONSTRICTLY HYPERBOLIC OPERATORS	1975	V. Ja. Ivrii	3
+	Linear Hyperbolic Equations	1993	Victor Ivrii	3
+ PDF Chat	On the Cauchy problem for noneffectively hyperbolic operators: The Gevrey 4 well-posedness	2011	Enrico Bernardi Tatsuo Nishitani	3
+	The Analysis of Linear Partial Differential Operators II	2005	Lars Hörmander	3
+	The Cauchy Problem and Propagation of Singularities	1984	Richard Melrose	3
+	Propagation of singularities for hyperbolic operators with multiple involutive characteristics	1988	Enrico Bernardi	2
+ PDF Chat	Opérateurs hyperboliques à caractéristiques de multiplicité constante	1974	Jacques Chazarain	2
+	A simple proof of the existence of tangent bicharacteristics for noneffectively hyperbolic operators	2015	Tatsuo Nishitani	2
+	Propagation of singularities for several classes of pseudodifferential operators	1991	Kunihiko Kajitani Seiichiro Wakabayashi	2
+	SDE SIS epidemic model with demographic stochasticity and varying population size	2016	David Greenhalgh Yanfeng Liang Xuerong Mao	2
+	On the simpleness of zeros of Stokes multipliers	2005	Trinh Duc Tai	2
+	On the well-posedness of the Cauchy problem for certain hyperbolic operators with characteristics of high variable multiplicity	1982	O V Zaitseva Victor Ivrii	2
+ PDF Chat	The Cauchy problems for effectively hyperbolic equations (a special case)	1983	Nobuhisa Iwasaki	2
+	Periodic Differential Equations	1964		2
+	The Analysis of Linear Partial Differential Operators III	2007	Lars Hörmander	2
+ PDF Chat	Microhyperbolic Operators in Gevrey Classes	1989	Kunihiko Kajitani Seiichiro Wakabayashi	2
+	FOUR REMARKS ON EIGENVALUES OF LAMÉ'S EQUATION	2004	Hans Volkmer	2
+	<scp>L. Hörmander</scp>, Linear Partial Differential Operators. VIII + 284 S. m. 1 Fig. Berlin/Göttingen/Heidelberg 1963. Springer‐Verlag. Preis geb. DM 42,‐ .	1964	Philipp Müller	2
+	On the relation between ordinary and stochastic differential equations	1965	Eugene Wong Zakai Moshe	2
+	Necessary conditions for strong hyperbolicity of first order systems	1993	Tatsuo Nishitani	2
+	Analytic singularities and microhyperbolic boundary value problems	1980	Johnnes Sjöstrand	2
+	A class of Fourier integral operators with complex phase related to the Gevrey classes	2010	Tatsuo Nishitani Mitsuji Tamura	2
+	On Gevrey Well-Posedness of the Cauchy Problem for Some Noneffectively Hyperbolic Operators	2009	Tatsuo Nishitani	2
+	None	1999	Sergio Albeverio Astrid Hilbert Vassili N. Kolokoltsov	2
+	Remarks on symmetrization of 2 × 2 systems and the characteristic manifolds	1992	Enrico Bernardi Tatsuo Nishitani	2
+	A note on reduced forms of effectively hyperbolic operators and energy integrals	1984	Tatsuo Nishitani	2