Nonlinear Neumann boundary stabilization of the wave equation using rotated multipliers

DOI10.1007/s10883-010-9088-6zbMath1203.93172arXiv0710.1959OpenAlexW2949599846MaRDI QIDQ619268

Axel Osses, Jean-Pierre Lohéac, Pierre Cornilleau

Publication date: 24 January 2011

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1959

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Boundary value problems for second-order elliptic equations (35J25) Wave equation (35L05) Second-order hyperbolic equations (35L10)

Related Items (7)

Boundary stabilisation of the wave equation in the presence of singularities ⋮ PDE problems with concentrating terms near the boundary ⋮ Stability for the Mixed Problem Involving the Wave Equation, with Localized Damping, in Unbounded Domains with Finite Measure ⋮ Recovering the initial state of an infinite-dimensional system using observers ⋮ Stabilization of the wave equation in a polygonal domain with cracks ⋮ Exponential stabilization of waves for the Zaremba boundary condition ⋮ Stability for a nonlinear hyperbolic equation with time-dependent coefficients and boundary damping

Cites Work

• On mixed boundary value problems of Dirichlet oblique-derivative type in plane domains with piecewise differentiable boundary
• A direct method for the boundary stabilization of the wave equation
• Singularities of the solution of a mixed problem for a general second order elliptic equation and boundary stabilization of the wave equation.
• Regularization of mixed second-order elliptic problems
• A Rotated Multiplier Applied to the Controllability of Waves, Elasticity, and Tangential Stokes Control
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
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