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Energy decay and partition for dissipative wave equations

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Publication:1256130
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DOI10.1016/0022-0396(80)90076-5zbMath0403.35096OpenAlexW2087059001MaRDI QIDQ1256130

Jerome A. Goldstein, Steven Rosencrans

Publication date: 1980

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(80)90076-5


zbMATH Keywords

Dissipative Wave EquationKinetic EnergyPotential EnergyTot


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Wave equation (35L05) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)


Related Items (3)

Abstract wave equations and associated Dirac-type operators ⋮ Unnamed Item ⋮ Dissipation rates and partition of energy in thermoelasticity



Cites Work

  • Unnamed Item
  • An equipartition of energy theorem for weak solutions of evolutionary equations in Hilbert space: The Lagrange identity method
  • Abstract equipartition of energy theorems
  • An asymptotic property of solutions of wave equations. II
  • An Asymptotic Property of Solutions of Wave Equations
  • Stability of dissipative systems


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