Scattering in the weighted \( L^2 \)-space for a 2D nonlinear Schrödinger equation with inhomogeneous exponential nonlinearity

DOI10.3934/cpaa.2019122zbMath1483.35198arXiv1810.08974OpenAlexW2930491392MaRDI QIDQ2069902

Mohamed Majdoub, Van Duong Dinh, Abdelwahab Bensouilah

Publication date: 21 January 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.08974

zbMATH Keywords

scatteringexponential nonlinearityinhomogeneous nonlinear Schrödinger equationsingular Moser-Trudinger inequalityvirial identity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (2)

Long‐time dynamics for the radial focusing fractional INLS ⋮ Energy critical Schrödinger equation with weighted exponential nonlinearity: Local and global well-posedness

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