Well-posedness and blow-up of Virial type for some fractional inhomogeneous Choquard equations

DOI10.1080/00036811.2020.1834085zbMath1492.35302OpenAlexW3111172646MaRDI QIDQ5085541

L. Chergui

Publication date: 27 June 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1834085

zbMATH Keywords

blow-upground stateGagliardo-Nirenberg inequalityChoquard equationvirial identity

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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