On Wave Equations with Boundary Dissipation of Memory Type

  title={On Wave Equations with Boundary Dissipation of Memory Type},
  author={Georg Propst},
The undamped wave equation on an open domain of arbitrary dimension and boundary of class C 1 is considered. On parts of the boundary the normal derivative of the solution equals the convolution of its time derivative with a measure of positive type. This setting subsumes standard disssipative boundary conditions as well as the interaction with vis-coelastic boundary materials. Applying methods for evolutionary integral equations to a variational formulation of the problem, existence… CONTINUE READING

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Showing 1-4 of 4 references

Mark 14

  • NAG Fortran Library Manual
  • The Numerical Algorithms Group Ltd, Oxford
  • 1990
1 Excerpt

Vector Laplace transforms and Cauchy problems, Israel

  • W. Arendt
  • J. Math
  • 1987

Spectral properties of an acoustic boundary condition

  • J. T. Beale
  • Indiana Univ. Math. J
  • 1976


  • P. M. Morse, K. U. Ingard, Theoretical Acoustics
  • New York
  • 1968
2 Excerpts

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