Sharp criteria for the nonlinear Schrödinger equation with combined nonlinearities of power-type and Hartree-type

DOI10.1080/00036811.2016.1248424zbMath1386.35380OpenAlexW2543933778WikidataQ58242318 ScholiaQ58242318MaRDI QIDQ4597849

Pengshe Zheng, Xiaoguang Li, Lihui Leng

Publication date: 14 December 2017

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

Full work available at URL: https://doi.org/10.1080/00036811.2016.1248424

zbMATH Keywords

nonlinear Schrödinger equation global existence blow-up solution sharp criteria Hartree-type

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44)

Related Items (7)

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 ⋮ Schrödinger equations with combined non-linearity ⋮ Sharp blowup rate for NLS with a repulsive harmonic potential ⋮ The generalized Hartree equation with a combined source term ⋮ Sharp criteria of blow-up for the energy-critical nonlinear wave equation with a damping term ⋮ Sharp thresholds of blow-up and global existence for the Schrödinger equation with combined power-type and Choquard-type nonlinearities

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