Modified Strichartz estimates with an application to the critical nonlinear Schrödinger equation

DOI10.1016/J.NA.2015.09.023zbMath1330.35410OpenAlexW2107614255MaRDI QIDQ898362

Takeshi Wada, Makoto Nakamura

Publication date: 8 December 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.09.023

zbMATH Keywords

Sobolev spaceCauchy problemnonlinear Schrödinger equationStrichartz estimate

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (6)

A remark on regularity of solutions to wave equations ⋮ On local well-posedness for \(H^s\)-critical nonlinear Schrödinger equations ⋮ Strichartz type estimates in mixed Besov spaces with application to critical nonlinear Schrödinger equations ⋮ A remark on local well-posedness for nonlinear Schrödinger equations with power nonlinearity -- an alternative approach ⋮ Global solutions for \(H^s\)-critical nonlinear biharmonic Schrödinger equation ⋮ Bilinear Strichartz's type estimates in Besov spaces with application to inhomogeneous nonlinear biharmonic Schrödinger equation

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