Small data global well-posedness for the inhomogeneous biharmonic NLS in Sobolev spaces

DOI10.3934/DCDSB.2022192zbMath1512.35528arXiv2207.04699MaRDI QIDQ6404575

JinMyong An, Jin-Myong Kim, PyongJo Ryu

Publication date: 11 July 2022

Mathematics Subject Classification ID

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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