On weli-posedness of the forced nonlinear schrödinger equation

DOI10.1080/00036819208840122zbMath0817.35103OpenAlexW2007005308WikidataQ58252724 ScholiaQ58252724MaRDI QIDQ4291590

Qiyue Bu

Publication date: 17 July 1995

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819208840122

zbMATH Keywords

well-posednessconditions for blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (12)

Neumann problem for nonlinear Schrödinger equation with the Riesz fractional derivative operator ⋮ Inhomogeneous initial-boundary value problem for the 2D nonlinear Schrödinger equation ⋮ The Ginzburg-Landau equation with nonzero Neumann boundary data ⋮ Global existence and nonexistence of the solution of a forced nonlinear Schrödinger equation ⋮ On a forced modified KdV equation. ⋮ Asymptotics for inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation ⋮ Multidimensional inhomogeneous mixed initial-boundary value problem for the nonlinear Schrödinger equation ⋮ Inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity on the upper half-plane ⋮ Neumann inhomogeneous initial-boundary value problem for the \(2D\) nonlinear Schrödinger equation ⋮ The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line ⋮ Forced cubic Schrödinger equation with Robin boundary data: large-time asymptotics ⋮ An initial-boundary-value problem of 2D nonlinear Schrödinger equation in a strip

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• The Korteweg–de Vries Equation, Posed in a Quarter-Plane
• On the forced nonlinear Schrödinger equation
• Solution of the forced nonlinear schrödinger (nls) equation using pde techniques
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS

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