Remarks on global existence for nonlinear parabolic equations

DOI10.1016/0362-546X(86)90015-5zbMath0595.35059MaRDI QIDQ3726610

Songmu Zheng

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemglobal solutiondecay rates of solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)

Related Items (9)

Initial value problems for the nonlinear heat equation in Triebel-Lizorkin spaces ⋮ Stability in fully nonlinear parabolic equations ⋮ Global existence of solutions to a fully nonlinear fourth-order parabolic equation in exterior domains ⋮ A specifically fully nonlinear perturbation of the heat equations in exterior domains ⋮ Asymptotics of solutions of nonlinear parabolic equations. ⋮ Mathematical and physical aspects of the solution to the Cauchy problem for a time‐nonlocal model of thermoelasticity theory ⋮ Global solutions to the second initial boundary value problem for fully nonlinear parabolic equations ⋮ Global existence for the Cauchy problem for the viscous shallow water equations ⋮ Local and global existence of solutions to semilinear parabolic initial value problems

Cites Work

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• Global existence of small solutions to nonlinear evolution equations
• Global existence for nonlinear parabolic equations
• Existence and non-existence of global solutions for a semilinear heat equation
• Long-time behavior of solutions to nonlinear evolution equations
• On the growing problem for semilinear heat equations
• Global existence for nonlinear wave equations
• Global, small amplitude solutions to nonlinear evolution equations

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