Decay estimates for quasi-linear evolution equations

DOI10.1016/j.bulsci.2010.04.004zbMath1213.35095OpenAlexW2063590339MaRDI QIDQ627699

Pascal Cherrier, Albert J. Milani

Publication date: 3 March 2011

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2010.04.004

zbMATH Keywords

small initial dataglobal strong solutionsdecay rates estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71) Quasilinear parabolic equations (35K59)

Related Items (1)

A Class of Second-Order Geometric Quasilinear Hyperbolic PDEs and Their Application in Imaging

Cites Work

• Long-time behavior of small solutions to quasilinear dissipative hyperbolic equation.
• On the existence of global solutions of nonlinear wave equations
• 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
• Dispersion for non-linear relativistic equations. II
• Decay rates for solutions of damped systems and generalized Fourier transforms.
• On the diffusion phenomenon of quasilinear hyperbolic waves
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