Almost global strong solutions to quasilinear dissipative evolution equations

DOI10.1007/S11401-007-0251-7zbMath1184.35025OpenAlexW2002118434MaRDI QIDQ1044796

Albert J. Milani

Publication date: 15 December 2009

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-007-0251-7

zbMATH Keywords

quasilinear dissipative hyperbolic equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72) Quasilinear parabolic equations (35K59)

Cites Work

• Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation
• Sobolev Regularity fort > 0 in Quasilinear Parabolic Equations
• On the diffusion phenomenon of quasilinear hyperbolic waves
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