Small data global well-posedness for the inhomogeneous biharmonic NLS in Sobolev spaces
DOI10.3934/dcdsb.2022192OpenAlexW4313151585MaRDI QIDQ2697225
JinMyong An, Jin-Myong Kim, PyongJo Ryu
Publication date: 18 April 2023
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.04699
Cauchy problemglobal well-posednessStrichartz estimatesinhomogeneous biharmonic nonlinear Schrödinger equation
Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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