Wave equations with time-dependent dissipation. II: Effective dissipation
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Publication:859518
DOI10.1016/j.jde.2006.06.004zbMath1114.35116OpenAlexW2011540258MaRDI QIDQ859518
Publication date: 16 January 2007
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2006.06.004
A priori estimates in context of PDEs (35B45) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order hyperbolic equations (35L15)
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Cites Work
- Wave equations with time-dependent dissipation. I: Non-effective dissipation
- The total energy decay of solutions for the wave equation with a dissipative term
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- Energy decay of solutions of dissipative wave equations
- Asymptotic behavior of solutions of quasilinear hyperbolic equations with linear damping
- \(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application
- Improved decay rates for solutions to one-dimensional linear and semilinear dissipative wave equations in all space
- Rapid decay of the total energy for dissipative wave equations
- \(L^p\)-\(L^q\) estimates for damped wave equations and their applications to semi-linear problem
- Asymptotic behavior for abstract wave equations with decaying dissipation
- Global existence of small solutions to a class of nonlinear evolution equations
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