Local well-posedness for the inhomogeneous biharmonic nonlinear Schr\"{o}dinger equation in Sobolev spaces

DOI10.4171/ZAA/1707zbMath1508.35139arXiv2206.06690MaRDI QIDQ6402022

JinMyong An, PyongJo Ryu, Jin-Myong Kim

Publication date: 14 June 2022

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) 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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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