Sobolev-Lorentz spaces with an application to the inhomogeneous biharmonic NLS equation

DOI10.3934/dcdsb.2024006zbMath1543.35214MaRDI QIDQ6568796

JinMyong An, PyongJo Ryu, Jin-Myong Kim

Publication date: 8 July 2024

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

zbMATH Keywords

global well-posednesslocal well-posednessSobolev-Lorentz spacesfractional chain ruleinhomogeneous biharmonic nonlinear Schrödinger equation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

This page was built for publication: Sobolev-Lorentz spaces with an application to the inhomogeneous biharmonic NLS equation