Periodic solutions of a porous medium equation

Dazhi Zhang; Jiebao Sun; Boying Wu

doi:10.14232/ejqtde.2011.1.42

Periodic solutions of a porous medium equation

Dazhi Zhang
, Jiebao Sun^*
, Boying Wu

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, we study with a periodic porous medium equation with nonlinear convection terms and weakly nonlinear sources under Dirichlet boundary conditions. Based on the theory of Leray-Shauder fixed point theorem, we establish the existence of periodic solutions.

Original language	English
Pages (from-to)	1-7
Number of pages	7
Journal	Electronic Journal of Qualitative Theory of Differential Equations
DOIs	https://doi.org/10.14232/ejqtde.2011.1.42
State	Published - 2011

Keywords

Existence
Leray-schauder fixed point theorem
Periodic solutions

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10.14232/ejqtde.2011.1.42

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title = "Periodic solutions of a porous medium equation",

abstract = "In this paper, we study with a periodic porous medium equation with nonlinear convection terms and weakly nonlinear sources under Dirichlet boundary conditions. Based on the theory of Leray-Shauder fixed point theorem, we establish the existence of periodic solutions.",

keywords = "Existence, Leray-schauder fixed point theorem, Periodic solutions",

author = "Dazhi Zhang and Jiebao Sun and Boying Wu",

year = "2011",

doi = "10.14232/ejqtde.2011.1.42",

language = "英语",

pages = "1--7",

journal = "Electronic Journal of Qualitative Theory of Differential Equations",

issn = "1417-3875",

publisher = "University of Szeged",

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T1 - Periodic solutions of a porous medium equation

AU - Zhang, Dazhi

AU - Sun, Jiebao

AU - Wu, Boying

PY - 2011

Y1 - 2011

N2 - In this paper, we study with a periodic porous medium equation with nonlinear convection terms and weakly nonlinear sources under Dirichlet boundary conditions. Based on the theory of Leray-Shauder fixed point theorem, we establish the existence of periodic solutions.

AB - In this paper, we study with a periodic porous medium equation with nonlinear convection terms and weakly nonlinear sources under Dirichlet boundary conditions. Based on the theory of Leray-Shauder fixed point theorem, we establish the existence of periodic solutions.

KW - Existence

KW - Leray-schauder fixed point theorem

KW - Periodic solutions

UR - https://www.scopus.com/pages/publications/79958862774

U2 - 10.14232/ejqtde.2011.1.42

DO - 10.14232/ejqtde.2011.1.42

M3 - 文章

AN - SCOPUS:79958862774

SN - 1417-3875

SP - 1

EP - 7

JO - Electronic Journal of Qualitative Theory of Differential Equations

JF - Electronic Journal of Qualitative Theory of Differential Equations

ER -

Periodic solutions of a porous medium equation

Abstract

Keywords

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