Global existence, large time behavior, and life span for a degenerate parabolic equation with inhomogeneous density and source

Pan Zheng; Chunlai Mu

doi:10.1007/s00033-013-0337-x

Global existence, large time behavior, and life span for a degenerate parabolic equation with inhomogeneous density and source

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-013-0337-x ◽

2013 ◽

Vol 65 (3) ◽

pp. 471-486 ◽

Cited By ~ 2

Author(s):

Pan Zheng ◽

Chunlai Mu

Keyword(s):

Parabolic Equation ◽

Global Existence ◽

Life Span ◽

Degenerate Parabolic Equation ◽

Large Time ◽

Large Time Behavior ◽

Time Behavior ◽

Inhomogeneous Density ◽

Degenerate Parabolic

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Large Time Behavior of Solutions to the Neumann Problem for a Quasilinear Second Order Degenerate Parabolic Equation in Domains with Noncompact Boundary

Journal of Differential Equations ◽

10.1006/jdeq.2000.3948 ◽

2001 ◽

Vol 174 (2) ◽

pp. 253-288 ◽

Cited By ~ 19

Author(s):

D. Andreucci ◽

G.R. Cirmi ◽

S. Leonardi ◽

A.F. Tedeev

Keyword(s):

Parabolic Equation ◽

Neumann Problem ◽

Degenerate Parabolic Equation ◽

Large Time ◽

Large Time Behavior ◽

Time Behavior ◽

Noncompact Boundary ◽

Order Degenerate ◽

Degenerate Parabolic ◽

The Neumann Problem

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EXISTENCE AND LARGE TIME BEHAVIOR OF SOLUTIONS TO A FOURTH-ORDER DEGENERATE PARABOLIC EQUATION

Bulletin of the Korean Mathematical Society ◽

10.4134/bkms.2015.52.4.1059 ◽

2015 ◽

Vol 52 (4) ◽

pp. 1059-1068

Author(s):

BO LIANG ◽

MEISHAN WANG ◽

YING WANG

Keyword(s):

Parabolic Equation ◽

Fourth Order ◽

Degenerate Parabolic Equation ◽

Large Time ◽

Large Time Behavior ◽

Time Behavior ◽

Order Degenerate ◽

Degenerate Parabolic

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Large time behavior of solutions to a degenerate parabolic equation not in divergence form

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.07.018 ◽

2011 ◽

Vol 373 (1) ◽

pp. 252-263 ◽

Cited By ~ 3

Author(s):

Shuangshuang Zhou ◽

Xueli Bai ◽

Sining Zheng

Keyword(s):

Parabolic Equation ◽

Degenerate Parabolic Equation ◽

Large Time ◽

Large Time Behavior ◽

Divergence Form ◽

Time Behavior ◽

Degenerate Parabolic

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Large time behavior of free boundary for a degenerate parabolic equation with absorption

Nonlinear Analysis ◽

10.1016/j.na.2011.04.072 ◽

2011 ◽

Vol 74 (15) ◽

pp. 5069-5080 ◽

Cited By ~ 1

Author(s):

Jiaqing Pan

Keyword(s):

Parabolic Equation ◽

Free Boundary ◽

Degenerate Parabolic Equation ◽

Large Time ◽

Large Time Behavior ◽

Time Behavior ◽

Degenerate Parabolic

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Global existence, large time behavior and life span of solutions of a semilinear parabolic Cauchy problem

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1992-1057781-6 ◽

1992 ◽

Vol 333 (1) ◽

pp. 365-378 ◽

Cited By ~ 98

Author(s):

Tzong-Yow Lee ◽

Wei-Ming Ni

Keyword(s):

Cauchy Problem ◽

Global Existence ◽

Life Span ◽

Large Time ◽

Large Time Behavior ◽

Time Behavior ◽

Semilinear Parabolic

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Secondary critical exponent, large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial values

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-011-0130-7 ◽

2011 ◽

Vol 62 (6) ◽

pp. 961-978 ◽

Cited By ~ 1

Author(s):

Yongsheng Mi ◽

Chunlai Mu ◽

Rong Zeng

Keyword(s):

Parabolic Equation ◽

Critical Exponent ◽

Life Span ◽

Large Time ◽

Quasilinear Parabolic Equation ◽

Large Time Behavior ◽

Time Behavior ◽

Initial Values ◽

Secondary Critical Exponent ◽

Quasilinear Parabolic

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Large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial values

Nonlinear Analysis ◽

10.1016/s0362-546x(98)00161-8 ◽

2000 ◽

Vol 39 (1) ◽

pp. 33-45 ◽

Cited By ~ 26

Author(s):

Kentaro Mukai ◽

Kiyoshi Mochizuki ◽

Qing Huang

Keyword(s):

Parabolic Equation ◽

Life Span ◽

Large Time ◽

Quasilinear Parabolic Equation ◽

Large Time Behavior ◽

Time Behavior ◽

Initial Values ◽

Quasilinear Parabolic

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Large time behavior of solutions to degenerate parabolic equations with absorption

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/pl00001452 ◽

2001 ◽

Vol 8 (3) ◽

pp. 343-361 ◽

Cited By ~ 12

Author(s):

Michael Winkler

Keyword(s):

Parabolic Equations ◽

Large Time ◽

Large Time Behavior ◽

Degenerate Parabolic Equations ◽

Time Behavior ◽

Degenerate Parabolic

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Life span and a new critical exponent for a quasilinear degenerate parabolic equation with slow decay initial values

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2008.10.048 ◽

2010 ◽

Vol 11 (1) ◽

pp. 198-206 ◽

Cited By ~ 17

Author(s):

Chunlai Mu ◽

Yuhuan Li ◽

Ying Wang

Keyword(s):

Parabolic Equation ◽

Critical Exponent ◽

Life Span ◽

Degenerate Parabolic Equation ◽

Initial Values ◽

Slow Decay ◽

Degenerate Parabolic

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Large Time Behavior and Stability of Equilibria of Degenerate Parabolic Equations

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-005-3142-1 ◽

2005 ◽

Vol 17 (2) ◽

pp. 331-351 ◽

Cited By ~ 7

Author(s):

Michael Winkler

Keyword(s):

Parabolic Equations ◽

Large Time ◽

Large Time Behavior ◽

Degenerate Parabolic Equations ◽

Time Behavior ◽

Stability Of Equilibria ◽

Degenerate Parabolic

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