The boundedness in \(H^s(\Omega)\) for a class of nonlinear Schrödinger equations

zbMATH Open0978.35058MaRDI QIDQ2704441

Lihong Deng

Publication date: 27 January 2002

Published in: Journal of Sichuan University. Natural Science Edition (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessa priori estimatesglobal solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (4)

Schrödinger equations with singular potentials: linear and nonlinear boundary value problems ⋮ On the \(H^p\)-boundary value problems for Schrödinger equation in non-smooth domains ⋮ Unnamed Item ⋮ Besov Spaces and Unconditional Well-Posedness for the Nonlinear Schrödinger Equation in $\dot{\rm H}^s({\mathbb R}^n)$

Recommendations

• On bounded solutions of a nonlinear Schrödinger equation on the half-line 👍 👎
• Asymptotics and existence of bounded solutions of a nonlinear Schrödinger equation on the half-line 👍 👎
• Existence and stability results on a class of nonlinear Schrödinger equations in bounded domains with Dirichlet boundary conditions 👍 👎
• The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\) 👍 👎
• On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness 👍 👎
• On the \(H^p\)-boundary value problems for Schrödinger equation in non-smooth domains 👍 👎
• Unnamed Item 👍 👎
• Unnamed Item 👍 👎
• Unnamed Item 👍 👎
• Unnamed Item 👍 👎

This page was built for publication: The boundedness in \(H^s(\Omega)\) for a class of nonlinear Schrödinger equations