Well-posedness of the Cauchy problem of high dimension non-isotropic fourth-order Schrödinger equations in Sobolev spaces

DOI10.1016/J.NA.2008.07.032zbMath1163.35484OpenAlexW2048905476MaRDI QIDQ1012093

Cuihua Guo, Shang-bin Cui

Publication date: 14 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.07.032

zbMATH Keywords

existenceCauchy problemKato's methodnon-isotropic Schrödinger equation

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (5)

On the management fourth-order Schrödinger-Hartree equation ⋮ The global solution of anisotropic fourth-order Schrödinger equation ⋮ Unnamed Item ⋮ Finite dimensional global attractor for a dissipative anisotropic fourth order Schrödinger equation ⋮ Well-posedness of the fourth-order perturbed Schrödinger type equation in non-isotropic Sobolev spaces

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