Global existence for nonlinear parabolic equations

zbMath0603.35049MaRDI QIDQ1082537

Songmu Zheng, Yunmei Chen

Publication date: 1986

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

zbMATH Keywords

existencedecay estimateslinearized parabolic equationNash-Moser-Hörmander iterative scheme

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15)

Related Items

Initial value problems for the nonlinear heat equation in Triebel-Lizorkin spaces, Stability in fully nonlinear parabolic equations, Remarks on global existence for nonlinear parabolic equations, Global existence of solutions to a fully nonlinear fourth-order parabolic equation in exterior domains, Asymptotics of solutions of nonlinear parabolic equations., Global solutions to the second initial boundary value problem for fully nonlinear parabolic equations, Algebraic \(L^2\) decay for weak solutions of the nonlinear heat equations in whole space \(\mathbb R\), Global existence and decay in multi-component reaction-diffusion-advection systems with different velocities: oscillations in time and frequency, On the diffusion phenomenon of quasilinear hyperbolic waves, Global existence and decay in nonlinearly coupled reaction-diffusion-advection equations with different velocities, Global existence for the Cauchy problem for the viscous shallow water equations, Long time small solutions to nonlinear parabolic equations