Global Existence of Small Solutions to the Quadratic Nonlinear Schrödinger Equations in Two Space Dimensions

DOI10.1137/S0036141000372532zbMath0979.35133OpenAlexW2075219838MaRDI QIDQ2719179

Pavel I. Naumkin, Nakao Hayashi

Publication date: 21 June 2001

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141000372532

zbMATH Keywords

Cauchy problemglobal existencenonlinear Schrödinger equationsquadratic nonlinearitiesanalyticity and smallness conditions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

Global Existence for Two Dimensional Quadratic Derivative Nonlinear Schrödinger Equations ⋮ Remark on the global existence and large time asymptotics of solutions for the quadratic NLS ⋮ Quadratic derivative nonlinear Schrödinger equations in two space dimensions

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