Exponential and Polynomial Stability Estimates for the Wave Equation and Maxwell’s System with Memory Boundary Conditions

Serge Nicaise () and Cristina Pignotti ()
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Serge Nicaise: Université de Valenciennes et du Hainaut Cambrésis, LAMAV, Institut des Sciences et Techniques de Valenciennes
Cristina Pignotti: Università di L’Aquila, Dipartimento di Matematica Pura e Applicata

A chapter in Functional Analysis and Evolution Equations, 2007, pp 515-530 from Springer

Abstract: Abstract We give exponential and polynomial stability results for the wave equation with variable coefficients in a bounded domain of ℝ n , subject to a Dirichlet boundary condition on one part of the boundary and boundary conditions of memory type on the other part of the boundary. Moreover, analogous stability results are given for a system of Maxwell’s equations in heterogeneous media subject to dissipative boundary conditions with memory.

Keywords: Wave equation; Maxwell’s equations; variable coefficients; memory boundary conditions; stabilization (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7643-7794-6_31

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DOI: 10.1007/978-3-7643-7794-6_31

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