Asymptotic behaviour for a nonlinear Schrödinger equation in domains with moving boundaries

DOI10.1007/s10440-012-9785-0zbMath1284.35392OpenAlexW1997359236MaRDI QIDQ1956222

Celene Buriol, Marcio V. Ferreira, Mauricio Sepúlveda, Vanilde Bisognin, Octavio P. Vera Villagrán

Publication date: 13 June 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9785-0

zbMATH Keywords

stabilizationSchrödinger equationmoving boundary

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30)

Related Items (3)

Stabilization for a Fourth Order Nonlinear Schrödinger Equation in Domains with Moving Boundaries ⋮ Schrödinger equation in moving domains ⋮ Problems on time-varying domains: formulation, dynamics, and challenges

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Small solutions to nonlinear Schrödinger equations
• KdV equation in domains with moving boundaries
• Coupled system of Korteweg-de Vries equations type in domains with moving boundaries
• Qualitative aspects for the cubic nonlinear Schrödinger equations with localized damping: exponential and polynomial stabilization
• Finite dimensional behavior for weakly damped driven Schrödinger equations
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• Abstract Schrödinger-type differential equations with variable domain
• Sur un problème non linéaire
• Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation

This page was built for publication: Asymptotic behaviour for a nonlinear Schrödinger equation in domains with moving boundaries