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

In: Functional Analysis and Evolution Equations

Author

Listed:
  • 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)

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.

Suggested Citation

  • Serge Nicaise & Cristina Pignotti, 2007. "Exponential and Polynomial Stability Estimates for the Wave Equation and Maxwell’s System with Memory Boundary Conditions," Springer Books, in: Herbert Amann & Wolfgang Arendt & Matthias Hieber & Frank M. Neubrander & Serge Nicaise & Joachim vo (ed.), Functional Analysis and Evolution Equations, pages 515-530, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7643-7794-6_31
    DOI: 10.1007/978-3-7643-7794-6_31
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