The initial value problem for cubic semilinear Schrödinger equations

DOI10.2977/prims/1195162851zbMath0870.35095OpenAlexW2032235999MaRDI QIDQ2563732

Hiroyuki Chihara

Publication date: 10 September 1997

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195162851

zbMATH Keywords

cubic nonlinearitycubic semilinear Schrödinger equationsDoi's methodenergy and decay estimates

Mathematics Subject Classification ID

Related Items (14)

Well-posedness for a quadratic derivative nonlinear Schrödinger system at the critical regularity ⋮ Global Existence for Two Dimensional Quadratic Derivative Nonlinear Schrödinger Equations ⋮ EFFETS RÉGULARISANTS ET EXISTENCE LOCALE POUR L'ÉQUATION DE SCHRÖDINGER NON-LINÉAIRE À COEFFICIENTS VARIABLES ⋮ Remarks on global behavior of solutions to nonlinear Schrödinger equations ⋮ On the well-posedness for the nonlinear radial Schrödinger equation with spatial variable coefficients ⋮ Globally well and ill posedness for non-elliptic derivative Schrödinger equations with small rough data ⋮ Structural resolvent estimates and derivative nonlinear Schrödinger equations ⋮ Global existence of small analytic solutions to schrodinger equations with quadratic nonlinearity ⋮ Lower bounds of the lifespan of small data solutions to the nonlinear Schrödinger equations ⋮ Global existence of small classical solutions to nonlinear Schrödinger equations ⋮ Quadratic derivative nonlinear Schrödinger equations in two space dimensions ⋮ Global Well-Posedness and Scattering for Derivative Schrödinger Equation ⋮ Global well-posedness and scattering for the derivative nonlinear Schrödinger equation with small rough data ⋮ On Schrödinger maps

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