Global Cauchy problems for the Klein-Gordon, wave and fractional Schr\"odinger equations with Hartree nonlinearity on modulation spaces

zbMath1496.35169arXiv1810.11440MaRDI QIDQ5101500

Divyang G. Bhimani

Publication date: 30 August 2022

Full work available at URL: https://arxiv.org/abs/1810.11440

zbMATH Keywords

well-posednessmodulation spacessmall initial datawave-Hartree equationKlein-Gordon-Hartree equationfractional Hartree equation

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Initial value problems for second-order hyperbolic equations (35L15) Fractional partial differential equations (35R11) Second-order semilinear hyperbolic equations (35L71)

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