Analytic smoothing effect for a system of Schrödinger equations with two wave interaction

zbMath1319.35238MaRDI QIDQ2354088

Gaku Hoshino, Tohru Ozawa

Publication date: 10 July 2015

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ade/1431115713

zbMATH Keywords

system of Schrödinger equationsexistence and uniqueness of global solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

Blow-up solutions for a system of Schrödinger equations with general quadratic-type nonlinearities in dimensions five and six ⋮ Strong instability of standing waves for a system NLS with quadratic interaction ⋮ Analyticity of solutions to a quadratic system of Schrödinger equations without mass resonance condition ⋮ Gevrey-modulation spaces and smoothing effect for the system of nonlinear Schrödinger equations ⋮ Analytic smoothing effect for global solutions to a quadratic system of nonlinear Schrödinger equations ⋮ Space-time analytic smoothing effect for global solutions to a system of nonlinear Schrödinger equations with large data

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