Scattering in the energy space for the NLS with variable coefficients

Keywords

Nabla symbol, Mathematics, Mathematical analysis, Scattering, Mathematical physics

References

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• Helmholtz and Dispersive Equations with Variable Coefficients on Exterior DomainsFederico Cacciafesta, Piero DʼAncona, Renato Lucà — 2014
• Interaction Morawetz estimate for the magnetic Schrödinger equation and applicationsJ. Colliander, Magdalena Czubak, Jeonghun Lee — 2011
• Wave operators and similarity for some non-selfadjoint operators加藤 敏夫, 池部 晃生 — 1966
• Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ3J. Colliander, M. Keel, Gigliola Staffilani — 2003
• Schrödinger operators with singular magnetic vector potentialsHerbert Leinfelder, Christian G. Simader — 1981
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• Time decay for solutions of Schrödinger equations with rough and time-dependent potentialsIgor Rodnianski, Wilhelm Schlag — 2001
• STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTSGigliola Staffilani, Daniel Tataru — 2002
• Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensionsM. Burak Erdoğan, Michael Goldberg, Wilhelm Schlag — 2007
• Gaussian bounds for propagators perturbed by potentialsVitali Liskevich, Hendrik Vogt, Jürgen Voigt — 2006
• The Kato-Ponce InequalityLoukas Grafakos, Seungly Oh — 2013
• Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundaryMatthew D. Blair, Hart F. Smith, Chris D. Sogge — 2010
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Cited by

• Log-Sobolev inequalities for semi-direct product operators and applicationsPiero DʼAncona, Patrick Maheux, Vittoria Pierfelice — 2014
• Sharp L^p estimates for Schrödinger groupsD'Ancona, Piero, Nicola, Fabio — 2014
• On semi-classical limit of nonlinear quantum scatteringRémi Carles — 2015
• Sharp L^p estimates for Schrödinger groups on spaces of homogeneous typePiero DʼAncona, Fabio Nicola — 2016
• A limiting absorption principle for the Helmholtz equation with variable coefficientsFederico Cacciafesta, Piero DʼAncona, Renato Lucà — 2016
• Spectrality of infinite convolutions with three-element digit setsYan-Song Fu, Zhi‐Xiong Wen — 2017
• Scaling of spectra of a class of random convolution on RYan-Song Fu, Liu He — 2017
• Gradient estimates and their optimality for heat equation in an exterior domainVladimir Georgiev, Koichi Taniguchi — 2017
• A Characterization on the Spectra of Self-Affine MeasuresYan-Song Fu — 2018
• On fractional Leibniz rule for Dirichlet Laplacian in exterior domainVladimir Georgiev, Koichi Taniguchi — 2019
• Bounds on eigenvalues of perturbed Lamé operators with complex potentialsLucrezia Cossetti, Karlsruher Institut für Technologie, Englerstraße 2, 76131 Karlsruhe, Germany — 2019
• Isolated Singularities of Yang–Mills–Higgs Fields on SurfacesBo Chen, Song, Chong — 2019
• Absence of eigenvalues of non‐self‐adjoint Robin Laplacians on the half‐spaceL. Cossetti, D. Krejčiřík — 2018
• Global dynamics below the ground states for NLS under partial harmonic confinementAlex H. Ardila, Rémi Carles — 2020
• Global Strichartz estimates for an inhomogeneous Maxwell systemPiero DʼAncona, Roland Schnaubelt — 2021
• Eigenvalue bounds and spectral stability of Lamé operators with complex potentialsBiagio Cassano, Lucrezia Cossetti, Luca Fanelli — 2021
• Uniform resolvent estimates and absence of eigenvalues of biharmonic operators with complex potentialsLucrezia Cossetti, Luca Fanelli, David Krejčiřı́k — 2023
• Sharp Lp estimates for Schrödinger groups on spaces of homogeneous type TheA. Bui, P. D’Ancona, F. Nicola — 2019
• Magnetic uncertainty in variable geometryLuca Fanelli, Yilin Song, Ying Wang — 2026

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