Lifespan of strong solutions to the periodic nonlinear Schrödinger equation without gauge invariance

DOI10.1007/s00028-016-0364-0zbMath1381.35160OpenAlexW2512792594MaRDI QIDQ1688299

Tohru Ozawa, Kazumasa Fujiwara

Publication date: 5 January 2018

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-016-0364-0

zbMATH Keywords

finite time blowuplifespan estimateperiodic NLSpower-type nonlinearity without gauge invariance

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35)

Related Items (8)

Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method ⋮ Quasiperiodicity and blowup in integrable subsystems of nonconservative nonlinear Schrödinger equations ⋮ On the lifespan of strong solutions to the periodic derivative nonlinear Schrödinger equation ⋮ On global existence of L2 solutions for 1D periodic NLS with quadratic nonlinearity ⋮ Finite time blowup of solutions to the nonlinear Schrödinger equation without gauge invariance ⋮ Estimates of Lifespan and Blow-up Rates for the Wave Equation with a Time-dependent Damping and a Power-type Nonlinearity ⋮ Lifespan of solutions for a weakly coupled system of semilinear heat equations ⋮ Lifespan of Solutions to Nonlinear Schrödinger Equations with General Homogeneous Nonlinearity of the Critical Order

Cites Work

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