Energy estimates of hyperbolic equations with dissipative lower terms

DOI10.1007/BF00970215zbMath0645.35056OpenAlexW2080624076MaRDI QIDQ1103108

Alexander N. Malyshev, Victor Kostin

Publication date: 1987

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00970215

zbMATH Keywords

hyperbolic polynomialsdissipative energy

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Higher-order hyperbolic equations (35L25) First-order hyperbolic systems (35L40)

Cites Work

• Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation
• On a wave theory for the operator \(\epsilon\partial _ t(\partial ^ 2_ t-c^ 2_ 1\Delta _ n)+\partial ^ 2_ t-c^ 2_ 0\Delta _ n\)
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