Stabilization of the Schrödinger equation.
Machtyngier, E., Zuazua, E. (1994)
Portugaliae Mathematica
Similarity:
Displaying similar documents to “Boundary stabilization of Maxwell’s equations with space-time variable coefficients”
Stabilization of the Schrödinger equation.
A transmission problem for beams on nonlinear supports.
Ma, To Fu, Portillo Oquendo, Higidio (2006)
Boundary Value Problems [electronic only]
Similarity:
Stability and controllability of the electromagneto-elastic system.
Nicaise, S. (2003)
Portugaliae Mathematica. Nova Série
Similarity:
Partial exact controllability and exponential stability in higher-dimensional linear thermoelasticity
Weijiu Liu (1998)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
Boundary stabilization of the linear elastodinamic system by a Lyapunov-type method.
Rabah Bey, Amar Heminna, Jean-Pierre Lohéac (2003)
Revista Matemática Complutense
Similarity:
We propose a direct approach to obtain the boundary stabilization of the isotropic linear elastodynamic system by a natural feedback; this method uses local coordinates in the expression of boundary integrals as a main tool. It leads to an explicit decay rate of the energy function and requires weak geometrical conditions: for example, the spacial domain can be the difference of two star-shaped sets.
Internal stabilization of Maxwell's equations in heterogeneous media.
Nicaise, Serge, Pignotti, Cristina (2005)
Abstract and Applied Analysis
Similarity:
Stabilization of the wave equation by on-off and positive-negative feedbacks
Patrick Martinez, Judith Vancostenoble (2002)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
Motivated by several works on the stabilization of the oscillator by on-off feedbacks, we study the related problem for the one-dimensional wave equation, damped by an on-off feedback . We obtain results that are radically different from those known in the case of the oscillator. We consider periodic functions : typically is equal to on , equal to on and is -periodic. We study the boundary case and next the locally distributed case, and we give optimal results of stability....
Boundary stabilization of a hyperbolic equation with viscosity.
Cavalcanti, M.M. (1998)
The New York Journal of Mathematics [electronic only]
Similarity:
On coupled Klein-Gordon-Schrödinger equations with acoustic boundary conditions.
Ha, Tae Gab, Park, Jong Yeoul (2010)
Boundary Value Problems [electronic only]
Similarity:
Decay rates for solutions of a Timoshenko system with a memory condition at the boundary.
De Lima Santos, Mauro (2002)
Abstract and Applied Analysis
Similarity:
Unique continuation and decay for the Korteweg-de Vries equation with localized damping
Ademir Fernando Pazoto (2005)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
This work is devoted to prove the exponential decay for the energy of solutions of the Korteweg-de Vries equation in a bounded interval with a localized damping term. Following the method in Menzala (2002) which combines energy estimates, multipliers and compactness arguments the problem is reduced to prove the unique continuation of weak solutions. In Menzala (2002) the case where solutions vanish on a neighborhood of both extremes of the bounded interval where equation holds was solved...