The Cauchy problem for the Hartree type equation in modulation spaces

DOI10.1016/J.NA.2015.10.002zbMath1330.35394OpenAlexW2164550402MaRDI QIDQ898365

Divyang G. Bhimani

Publication date: 8 December 2015

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.2015.10.002

zbMATH Keywords

well-posednessmodulation spacesHartree 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) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (7)

Modulation spaces and non-linear Hartree type equations ⋮ The Hartree–Fock equations in modulation spaces ⋮ COMPOSITION OPERATORS ON WIENER AMALGAM SPACES ⋮ The Cauchy problem for non-linear higher order Hartree type equation in modulation spaces ⋮ Global Cauchy problems for the Klein-Gordon, wave and fractional Schr\"odinger equations with Hartree nonlinearity on modulation spaces ⋮ On the existence of global solutions of the Hartree equation for initial data in the modulation space \(M^{p , q}(\mathbb{R})\) ⋮ Global well-posedness for fractional Hartree equation on modulation spaces and Fourier algebra

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