Long-time behavior of small solutions to quasilinear dissipative hyperbolic equation.

DOI10.1007/s10492-011-0025-0zbMath1249.35072OpenAlexW1977520284MaRDI QIDQ664400

Albert J. Milani, Hans W. Volkmer

Publication date: 1 March 2012

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/196470

zbMATH Keywords

asymptotic behaviorquasilinear elliptic equationglobal existencestationary solutionquasilinear evolution equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Second-order nonlinear hyperbolic equations (35L70) Second-order elliptic equations (35J15) Initial value problems for second-order hyperbolic equations (35L15)

Related Items

Decay estimates for quasi-linear evolution equations

Cites Work

• The quasi-stationary Maxwell equations as singular limit of the complete equations: The quasi-linear case
• On the asymptotic behavior of solutions of semi-linear wave equations
• Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation
• Non-homogeneous non-linear damped wave equations in unbounded domains
• Global existence of small solutions to a class of nonlinear evolution equations
• On the diffusion phenomenon of quasilinear hyperbolic waves
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