Well-posedness of the Cauchy problem for the semilinear Schrödinger equation with quadratic nonlinearity in Besov spaces

DOI10.14492/HOKMJ/1285766209zbMath1067.35116OpenAlexW2026330406MaRDI QIDQ1775391

Shifu Taoka

Publication date: 6 May 2005

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.hokmj/1285766209

zbMATH Keywords

existenceuniquenessinitial value problembilinear estimateslocal-in-time solution

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25)

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Low-regularity bilinear estimates for a quadratic nonlinear Schrödinger equation

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