Valeria Banica

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All published works

Action	Title	Year	Authors
+ PDF Chat	Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation	2024	Valeria Banica Luis Vega
+ PDF Chat	Multifractality and polygonal vortex filaments	2024	Valeria Banica Daniel Eceizabarrena Andrea R. Nahmod Luis Vega
+	Multifractality and intermittency in the limit evolution of polygonal vortex filaments	2024	Valeria Banica Daniel Eceizabarrena Andrea R. Nahmod Luis Vega
+ PDF Chat	New Conservation Laws and Energy Cascade for 1d Cubic NLS and the Schrödinger Map	2024	Valeria Banica Luis Vega
+ PDF Chat	Numerical Integration of Schrödinger Maps via the Hasimoto Transform	2024	Valeria Banica Georg Maierhofer Katharina Schratz
+	Blow-Up for the 1D Cubic NLS	2024	Valeria Banica Renato Lucà Nikolay Tzvetkov Luis Vega
+ PDF Chat	Microlocal analysis of singular measures	2023	Valeria Banica Nicolas Burq
+	Remarks on hypoelliptic equations	2023	Valeria Banica Nicolas Burq
+	New Conservation Laws and Energy Cascade for 1d Cubic NLS and the Schrödinger map	2023	Valeria Banica Luis Vega
+	Blow-up for the 1D cubic NLS	2023	Valeria Banica Renato Lucà Nikolay Tzvetkov Luis Vega
+	Multifractality and intermittency in the limit evolution of polygonal vortex filaments	2023	Valeria Banica Daniel Eceizabarrena Andrea R. Nahmod Luis Vega
+ PDF Chat	Riemann’s Non-differentiable Function and the Binormal Curvature Flow	2022	Valeria Banica Luis Vega
+ PDF Chat	Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow	2022	Valeria Banica Luis Vega
+ PDF Chat	Riemann's non-differentiable function and the binormal curvature flow	2022	Valeria Banica Luis Vega
+	Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow	2021	Valeria Banica Luis Vega
+	Microlocal analysis of singular measures	2021	Valeria Banica Nicolas Burq
+ PDF Chat	Evolution of Polygonal Lines by the Binormal Flow	2020	Valeria Banica Luis Vega
+ PDF Chat	On the energy of critical solutions of the binormal flow	2020	Valeria Banica Luis Vega
+	On the energy of critical solutions of the binormal flow	2019	Valeria Banica Luis Vega
+	On the energy of critical solutions of the binormal flow	2019	Valeria Banica Luis Vega
+ PDF Chat	1-D cubic NLS with several Dirac masses as initial data and consequences	2018	Valeria Banica
+ PDF Chat	Singularity formation for the 1-D cubic NLS and the Schrödinger map on <inline-formula><tex-math id="M1">\begin{document}$\mathbb S^2$\end{document}</tex-math></inline-formula>	2018	Valeria Banica Luis Vega
+	Singularity formation for the 1-D cubic NLS and the Schrödinger map on $\mathbb{S}^2$	2017	Valeria Banica Luis Vega
+ PDF Chat	Collision of Almost Parallel Vortex Filaments	2017	Valeria Banica Erwan Faou Évelyne Miot
+	Singularity formation for the 1-D cubic NLS and the Schrödinger map on $\mathbb S^2$	2017	Valeria Banica Luis Vega
+ PDF Chat	Collision of Almost Parallel Vortex Filaments	2016	Valeria Banica Erwan Faou Évelyne Miot
+	Scattering for NLS with a delta potential	2015	Valeria Banica Nicola Visciglia
+ PDF Chat	Some constructions for the fractional Laplacian on noncompact manifolds	2015	Valeria Banica María del Mar González Mariel Sáez
+	Scattering for NLS with a delta potential	2015	Valeria Banica Nicola Visciglia
+ PDF Chat	The initial value problem for the Binormal Flow with rough data	2015	Valeria Banica Luis Vega
+ PDF Chat	Global existence, scattering and blow-up for the focusing NLS on the hyperbolic space	2015	Valeria Banica Thomas Duyckaerts
+	Scattering for NLS with a delta potential	2015	Valeria Banica Nicola Visciglia
+	Collision of almost parallel vortex filaments	2015	Valeria Banica Erwan Faou Évelyne Miot
+ PDF Chat	Dispersion pour l’équation de Schrödinger 1-D avec plusieurs potentiels de Dirac	2014	Valeria Banica
+	Global existence, scattering and blow-up for the focusing NLS on the hyperbolic space	2014	Valeria Banica Thomas Duyckaerts
+ PDF Chat	Collisions of Vortex Filament Pairs	2014	Valeria Banica Erwan Faou Évelyne Miot
+ PDF Chat	Dispersion for the Schrödinger equation on the line with multiple Dirac delta potentials and on delta trees	2014	Valeria Banica Liviu I. Ignat
+ PDF Chat	Evolution by the vortex filament equation of curves with a corner	2014	Valeria Banica
+	Global existence, scattering and blow-up for the focusing NLS on the hyperbolic space	2014	Valeria Banica Thomas Duyckaerts
+ PDF Chat	Stability of the Self-similar Dynamics of a Vortex Filament	2013	Valeria Banica Luis Vega
+	Evolution by the vortex filament equation of curves with a corner	2013	Valeria Banica
+	The initial value problem for the binormal flow with rough data	2013	Valeria Banica Luis Vega
+ PDF Chat	Evolution, interaction and collisions of vortex filaments	2013	Valeria Banica Évelyne Miot
+	Evolution by the vortex filament equation of curves with a corner	2013	Valeria Banica
+	The initial value problem for the binormal flow with rough data	2013	Valeria Banica Luis Vega
+	Some constructions for the fractional Laplacian on noncompact manifolds	2012	Valeria Banica María del Mar González Mariel Sáez
+	Global existence and collisions for symmetric configurations of nearly parallel vortex filaments	2012	Valeria Banica Évelyne Miot
+	Evolution, interaction and collisions of vortex filaments	2012	Valeria Banica Évelyne Miot
+	Some constructions for the fractional Laplacian on noncompact manifolds	2012	Valeria Banica María del Mar González Mariel Sáez
+ PDF Chat	Scattering for 1D cubic NLS and singular vortex dynamics	2011	Valeria Banica Luis Vega
+ PDF Chat	Dispersion for the Schrödinger equation on networks	2011	Valeria Banica Liviu I. Ignat
+	Dispersion for the Schr ¨ odinger equation on networks	2011	Valeria Banica Liviu I. Ignat F. Mitterrand
+	Dispersion for the Schrödinger Equation on Networks	2011	Valeria Banica Liviu I. Ignat
+	Selfsimilar solutions of the binormal flow and their stability	2011	Valeria Banica Luis Vega
+	Dispersion for the Schrödinger Equation on Networks	2011	Valeria Banica Liviu I. Ignat
+ PDF Chat	Minimal Blow-Up Solutions to the Mass-Critical Inhomogeneous NLS Equation	2010	Valeria Banica Rémi Carles Thomas Duyckaerts
+ PDF Chat	Remarks on the blow-up for the Schrödinger equation with critical mass on a plane domain	2009	Valeria Banica
+	On scattering for NLS: From Euclidean to hyperbolic space	2009	Valeria Banica Rémi Carles Thomas Duyckaerts
+	Scattering for 1D cubic NLS and singular vortex dynamics	2009	Valeria Banica Luis Vega
+	On the Stability of a Singular Vortex Dynamics	2008	Valeria Banica Luis Vega
+	On the stability of a singular vortex dynamics	2008	Valeria Banica Luis Vega
+	Scattering Theory for Radial Nonlinear Schrödinger Equations on Hyperbolic Space	2008	Valeria Banica Rémi Carles Gigliola Staffilani
+	The Nonlinear Schrödinger Equation on Hyperbolic Space	2007	Valeria Banica
+ PDF Chat	On the Dirac delta as initial condition for nonlinear Schrödinger equations	2007	Valeria Banica Luis Vega
+	Weighted Strichartz estimates for radial Schr\"odinger equation on noncompact manifolds	2007	Valeria Banica Thomas Duyckaerts
+	Weighted Strichartz estimates for radial Schr	2007	Valeria Banica Thomas Duyckaerts
+ PDF Chat	Weighted Strichartz estimates for radial Schrödinger equation on noncompact manifolds	2007	Valeria Banica Thomas Duyckaerts
+	Scattering theory for radial nonlinear Schr\"{o}dinger equations on hyperbolic space	2006	Valeria Banica Rémi Carles Gigliola Staffilani
+	Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space	2006	Valeria Banica Rémi Carles Gigliola Staffilani
+	The nonlinear Schr\"odinger equation on the hyperbolic space	2004	Valeria Banica
+	Remarks on the blow-up for the Schrödinger equation with critical mass on a plane domain	2004	Valeria Banica
+	The nonlinear Schrödinger equation on the hyperbolic space	2004	Valeria Banica
+	On the nonlinear Schrödinger dynamics on S2	2003	Valeria Banica
+	Dispersion and Strichartz Inequalities for Schrödinger Equations with Singular Coefficients	2003	Valeria Banica
+ PDF Chat	Remarks on the blow-up for the Schrödinger equation with critical mass on a plane domain	2003	Valeria Banica

Common Coauthors

Coauthor	Papers Together
Luis Vega	29
Thomas Duyckaerts	8
Évelyne Miot	7
Liviu I. Ignat	5
Rémi Carles	5
Erwan Faou	4
Nicolas Burq	3
María del Mar González	3
Daniel Eceizabarrena	3
Gigliola Staffilani	3
Mariel Sáez	3
Andrea R. Nahmod	3
Nicola Visciglia	3
Renato Lucà	2
Georg Maierhofer	1
F. Mitterrand	1
Katharina Schratz	1
Nikolay Tzvetkov	1
Nikolay Tzvetkov	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On the motion of a curve by its binormal curvature	2015	Robert L. Jerrard Didier Smets	12
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	11
+	On the ill-posedness of some canonical dispersive equations	2001	Carlos E. Kenig Gustavo Ponce Luis Vega	11
+ PDF Chat	Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations	2003	Michael Christ J. Colliander T. Tao	11
+ PDF Chat	Long range scattering for nonlinear Schrödinger equations in one space dimension	1991	Tohru Ozawa	10
+	Global wellposedness for 1D non-linear Schrödinger equation for data with an infinite L2 norm	2001	Ana Vargas Luis Vega	10
+	On the dynamics of a continuum spin system	1976	M. Lakshmanan Th.W. Ruijgrok Carol Thompson	9
+ PDF Chat	Scattering for 1D cubic NLS and singular vortex dynamics	2011	Valeria Banica Luis Vega	9
+	On the Stability of a Singular Vortex Dynamics	2008	Valeria Banica Luis Vega	9
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	9
+	Geometric Optics and Long Range Scattering¶for One-Dimensional Nonlinear Schrödinger Equations	2001	Rémi Carles	8
+	The cauchy problem for the critical nonlinear Schrödinger equation in Hs	1990	Thierry Cazenave Fred B. Weissler	8
+	Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations	1977	Robert S. Strichartz	8
+ PDF Chat	On the Vortex Filament Conjecture for Euler Flows	2016	Robert L. Jerrard Christian Seis	8
+ PDF Chat	The initial value problem for the Binormal Flow with rough data	2015	Valeria Banica Luis Vega	8
+	None	2005	Axel Grünrock	8
+	Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation	2000	Daniel Tataru	7
+ PDF Chat	Norm-inflation with Infinite Loss of Regularity for Periodic NLS Equations in Negative Sobolev Spaces	2017	Rémi Carles Thomas Kappeler	6
+ PDF Chat	Endpoint Strichartz estimates	1998	M. Keel Terence Tao	6
+ PDF Chat	Evolution of Polygonal Lines by the Binormal Flow	2020	Valeria Banica Luis Vega	6
+ PDF Chat	A Remark on Norm Inflation with General Initial Data for the Cubic Nonlinear Schr&ouml;dinger Equations in Negative Sobolev Spaces	2017	Tadahiro Oh	6
+	On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations	1977	Robert T. Glassey	6
+ PDF Chat	On the Dirac delta as initial condition for nonlinear Schrödinger equations	2007	Valeria Banica Luis Vega	6
+ PDF Chat	Solvability of the localized induction equation for vortex motion	1994	Takahiro Nishiyama Atusi Tani	6
+ PDF Chat	On the Relationship Between the One-Corner Problem and the M-Corner Problem for the Vortex Filament Equation	2018	Francisco de la Hoz Luis Vega	6
+ PDF Chat	Heat Kernel and Green Function Estimates on Noncompact Symmetric Spaces	1999	J.-P. Anker Liang Ji	5
+ PDF Chat	Rapidly decaying solutions of the nonlinear Schrödinger equation	1992	Thierry Cazenave Fred B. Weissler	5
+	Heat Kernel Bounds on Hyperbolic Space and Kleinian Groups	1988	E. B. Davies N. Mandouvalos	5
+	Weighted Strichartz estimates for the Schrödinger and wave equations on Damek–Ricci spaces	2007	Vittoria Pierfelice	5
+ PDF Chat	Stability of the Self-similar Dynamics of a Vortex Filament	2013	Valeria Banica Luis Vega	5
+	Domain and Range of the Modified Wave Operator for Schrödinger Equations with a Critical Nonlinearity	2006	Nakao Hayashi Pavel I. Naumkin	5
+ PDF Chat	INHOMOGENEOUS STRICHARTZ ESTIMATES	2005	Damiano Foschi	5
+ PDF Chat	Global Dispersive Solutions for the Gross–Pitaevskii Equation in Two and Three Dimensions	2007	Stephen J. Gustafson Kenji Nakanishi Tai‐Peng Tsai	5
+	On the Interaction of Nearly Parallel Vortex Filaments	2003	Carlos E. Kenig Gustavo Ponce Luis Vega	5
+	Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds	2004	Nicolas Burq Patrick Gérard Nikolay Tzvetkov	5
+ PDF Chat	Low regularity conservation laws for integrable PDE	2018	Rowan Killip Monica Vişan Xiaoyi Zhang	5
+	Heat Kernels and Spectral Theory	1989	E. B. Davies	5
+ PDF Chat	The global Cauchy problem for the non linear Schrödinger equation revisited	1985	J. Ginibre G. Velo	5
+ PDF Chat	Bilinear virial identities and applications	2009	Fabrice Planchon Luis Vega	5
+	Harmonic Analysis on Symmetric Spaces and Applications I	1985	Audrey Terras	4
+	POWER SERIES SOLUTION OF A NONLINEAR SCHR ¨ ODINGER EQUATION	2006	Michael Christ	4
+ PDF Chat	Talbot effect for the cubic non-linear Schröedinger equation on the torus	2013	M. Burak Erdoğan Nikolaos Tzirakis	4
+ PDF Chat	Fast Soliton Scattering by Delta Impurities	2007	Justin Holmer Jeremy L. Marzuola Maciej Zworski	4
+	Dispersion and Strichartz Inequalities for Schrödinger Equations with Singular Coefficients	2003	Valeria Banica	4
+	Geometric Analysis on Symmetric Spaces	2008	Sigurđur Helgason	4
+	On Schr\"odinger maps from $T^1$ to $S^2$	2011	Robert L. Jerrard Didier Smets	4
+	Scattering Theory for Radial Nonlinear Schrödinger Equations on Hyperbolic Space	2008	Valeria Banica Rémi Carles Gigliola Staffilani	4
+ PDF Chat	Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity	2009	Nobu Kishimoto	4
+	Quantum graphs: I. Some basic structures	2004	Peter Kuchment	4
+ PDF Chat	Soliton Splitting by External Delta Potentials	2007	Justin Holmer Jeremy L. Marzuola Maciej Zworski	4