On the initial value problem for a nonlinear Schrödinger equation

DOI10.1016/0022-0396(81)90109-1zbMath0475.35036OpenAlexW2061950533MaRDI QIDQ1159816

Guang-Chang Dong, Shu-Jie Li

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90109-1

zbMATH Keywords

weak solutionnonlinear Schrödinger equationinitial value problemdecay and smooth properties

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) A priori estimates in context of PDEs (35B45) Schrödinger operator, Schrödinger equation (35J10)

Related Items (7)

On solutions on the initial value problem for the nonlinear Schrödinger equations ⋮ Analyticity and global existence of small solutions to some nonlinear Schrödinger equations ⋮ L∞C(ℝⁿ)-decay of classical solutions for nonlinear Schrödinger equations ⋮ Long range scattering for nonlinear Schrödinger equations in one space dimension ⋮ SHARP ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO NONLINEAR SCHRÖDINGER EQUATIONS WITH REPULSIVE INTERACTIONS ⋮ Unnamed Item ⋮ Small solutions to nonlinear Schrödinger equations in the Sobolev spaces

Cites Work

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• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• Dispersion of low-energy waves for two conservative equations

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