Global smooth solutions for semilinear Schrödinger equations with boundary feedback on 2-dimensional Riemannian manifolds

DOI10.1007/s11424-009-9199-xzbMath1300.35117OpenAlexW1996225914WikidataQ115379180 ScholiaQ115379180MaRDI QIDQ473056

Peng-Fei Yao, Li Deng

Publication date: 21 November 2014

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-009-9199-x

zbMATH Keywords

Riemannian metricboundary feedbacksemilinear Schrödinger equationenergy decay

Mathematics Subject Classification ID

Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

Control and stabilization of the Rosenau equation posed on a periodic domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Well-posedness and sharp uniform decay rates at the \(L_{2}(\Omega)\)-level of the Schrödinger equation with nonlinear boundary dissipation
• The growth in time of higher Sobolev norms of solutions to Schrödinger equations on compact Riemannian manifolds
• Boundary controllability for the quasilinear wave equation
• Optimal regularity, exact controllability and uniform stabilization of Schrödinger equations with Dirichlet control
• Global smooth solutions for the quasilinear wave equation with boundary dissipation
• Stabilization and control for the nonlinear Schrödinger equation on a compact surface
• Global controllability and stabilization for the nonlinear Schrödinger equation on an interval
• Uniform energy decay of Schrodinger equations with variable coefficients
• On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients

This page was built for publication: Global smooth solutions for semilinear Schrödinger equations with boundary feedback on 2-dimensional Riemannian manifolds