Energy decay for a degenerate hyperbolic equation with a dissipative term

DOI10.2977/PRIMS/1195143608zbMath0955.35049OpenAlexW1996958936MaRDI QIDQ1974554

Fumihiko Hirosawa

Publication date: 21 February 2001

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195143608

zbMATH Keywords

total energyexponential decayGevrey solutionsinfinite-order energySobolev-type energy

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80)

Related Items (2)

On the energy estimates of the wave equation with time dependent propagation speed asymptotically monotone functions ⋮ On the exponential decay of waves with memory

Cites Work

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• Decaying states of perturbed wave equations
• Energy decay of solutions of dissipative wave equations
• Energy decay and asymptotic behavior of solutions to the wave equations with linear dissipation
• One application of Floquet's theory toLp-Lq estimates for hyperbolic equations with very fast oscillations

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