Well-posedness and blow-up properties for the generalized Hartree equation

DOI10.1142/S0219891620500228zbMath1473.35496arXiv1910.01085OpenAlexW3127597631WikidataQ115245185 ScholiaQ115245185MaRDI QIDQ5006975

Anudeep Kumar Arora, Svetlana Roudenko

Publication date: 18 August 2021

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.01085

zbMATH Keywords

global well-posednessblow-up criteriaChoquard-Pekar equationHartree equationconvolution nonlinearity

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40)

Related Items (7)

On the focusing generalized Hartree equation ⋮ Well-posedness in weighted spaces for the generalized Hartree equation with p < 2 ⋮ Scattering for a focusing Hartree equation ⋮ Global behavior of solutions to the focusing generalized Hartree equation ⋮ The radial bi-harmonic generalized Hartree equation revisited ⋮ The Sobolev-Morawetz approach for the energy scattering of nonlinear Schrödinger-type equations with radial data ⋮ The generalized Hartree equation with a combined source term

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