Energy critical Schrödinger equation with weighted exponential nonlinearity: Local and global well-posedness

DOI10.1142/S0219891618500194zbMath1428.35482arXiv1710.06477OpenAlexW2962781180WikidataQ115245208 ScholiaQ115245208MaRDI QIDQ5237462

D. Draouil, Mohamed Majdoub, Abdelwahab Bensouilah

Publication date: 18 October 2019

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.06477

zbMATH Keywords

well-posednessnonlinear Schrödinger equationexponential nonlinearityenergy critical

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Long‐time dynamics for the radial focusing fractional INLS ⋮ Scattering in the weighted \( L^2 \)-space for a 2D nonlinear Schrödinger equation with inhomogeneous exponential nonlinearity

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