Energy thresholds of blow‐up for the Hartree equation with a focusing subcritical perturbation

DOI10.1111/SAPM.12362zbMath1472.35365OpenAlexW3118459172MaRDI QIDQ4995595

Shuai Tian, Shihui Zhu, Rui Zhou, Ying Yang

Publication date: 25 June 2021

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12362

zbMATH Keywords

nonlinear Schrödinger equationblow-upsharp energy thresholdsubcritical perturbation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Blow-up in context of PDEs (35B44)

Related Items (5)

Dynamics of the nonlinear Hartree equation with a focusing and defocusing perturbation ⋮ Energy criteria of global existence for a class of Hartree equations with Coulomb potential ⋮ Initial boundary value problem for a class of wave equations of Hartree type ⋮ Negative energy blowup results for the focusing Hartree hierarchy via identities of virial and localized virial type ⋮ Planar Schrödinger-Poisson system with exponential critical growth: local well-posedness and standing waves with prescribed mass

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