Periodic solutions of some nonlinear degenerate parabolic equations
type: Item
instance of: scholarly article
title: Periodic solutions of some nonlinear degenerate parabolic equations
zbMATH Open document ID: 0565.35057
DOI: 10.1016/0022-247X(84)90020-9
author: Mitsuhiro Nakao
published in: Journal of Mathematical Analysis and Applications
publication date: 1984-01-01T00:00:00Z
review text: In this paper the author proves the existence of periodic solutions for nonlinear and degenerate evolution equations of parabolic type. He also derives a priori estimates on the \(L^{\infty}\) norm of the solution as well as \(L^ 2\) estimates on its first order derivatives.
reviewed by: M. Langlais
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35D10
zbMATH DE Number: 3901286
zbMATH Keywords: existence
zbMATH Keywords: periodic solutions
zbMATH Keywords: degenerate evolution equations
zbMATH Keywords: a priori estimates
MaRDI profile type: Publication
cites work: LPBounds of solutions of reaction-diffusion equations
cites work: Application des méthodes de convexité et monotonie a l'étude de certaines équations quasi linéaires
cites work: Periodic solutions of a quasilinear parabolic differential equation
cites work: Q4094029
cites work: Sulla esistenza ed unicita della soluzione limitata e della soluzione quasi periodica per una equazione parabolica con termine dissipativo non lineare discontinuo
cites work: Q4765147
cites work: Solutions of parabolic boundary problems existing for all time
cites work: Asymptotic behaviour of the solutions of a strongly nonlinear parabolic problem
cites work: Q5535232
cites work: Q5890172
cites work: On boundedness, periodicity, and almost periodicity of solutions of some nonlinear parabolic equations
cites work: Decay of solutions of some nonlinear evolution equations
cites work: On solutions to the initial-boundary value problem for (partial d)u/(partial d)t - Delta beta(u)=f
cites work: Q5815802
cites work: Periodic solutions of a non-linear parabolic equation
cites work: Periodic solutions of the first boundary problem for parabolic equations
cites work: Q5542973
cites work: Stabilization of solutions of a degenerate nonlinear diffusion problem
full work available at URL: 0022-247x(84)90020-9
OpenAlex ID: W2071022062
description: scientific article; zbMATH DE number 3901286