Local existence of solutions to dissipative nonlinear evolution equations with mixed types

DOI10.1016/J.NA.2009.03.011zbMath1182.35169OpenAlexW2060704338MaRDI QIDQ1044458

Hu Wei, Mi'na Jiang

Publication date: 18 December 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.03.011

zbMATH Keywords

contraction mapping principleapproximation solution sequence

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order parabolic systems (35K45) Initial value problems for systems of nonlinear first-order PDEs (35F55) Initial value problems for mixed-type systems of PDEs (35M31)

Cites Work

• Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
• Nonlinear stability for dissipative nonlinear evolution equations with ellipticity
• Decay rates of solutions to dissipative nonlinear evolution equations with ellipticity
• Asymptotics of dissipative nonlinear evolution equations with ellipticity: different end states
• Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
• Convergence to diffusion waves for nonlinear evolution equations with ellipticity and damping, and with different end states
• On partial differential equations related to Lorenz system
• On the cauchy problem for certain system of semilinear parabolic equations

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