Localized Cluster Solutions of Nonlinear Degenerate Diffusion Equations Arising in Population Dynamics

Yuzo Hosono; Masayasu Mimura

doi:10.1137/0520058

Localized Cluster Solutions of Nonlinear Degenerate Diffusion Equations Arising in Population Dynamics

SIAM Journal on Mathematical Analysis ◽

10.1137/0520058 ◽

1989 ◽

Vol 20 (4) ◽

pp. 845-869 ◽

Cited By ~ 7

Author(s):

Yuzo Hosono ◽

Masayasu Mimura

Keyword(s):

Population Dynamics ◽

Diffusion Equations ◽

Degenerate Diffusion ◽

Degenerate Diffusion Equations ◽

Cluster Solutions ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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Some nonlinear degenerate diffusion equations related to population dynamics

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/03530539 ◽

1983 ◽

Vol 35 (3) ◽

pp. 539-562 ◽

Cited By ~ 22

Author(s):

Toshitaka NAGAI ◽

Masayasu MIMURA

Keyword(s):

Population Dynamics ◽

Diffusion Equations ◽

Degenerate Diffusion ◽

Degenerate Diffusion Equations ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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ON SOME DECAY ESTIMATES OF SOLUTIONS FOR SOME NONLINEAR DEGENERATE DIFFUSION EQUATIONS

Progress in Analysis ◽

10.1142/9789812794253_0116 ◽

2003 ◽

Cited By ~ 1

Author(s):

TOKUMORI NANBU

Keyword(s):

Diffusion Equations ◽

Degenerate Diffusion ◽

Decay Estimates ◽

Estimates Of Solutions ◽

Degenerate Diffusion Equations ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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Fractional nonlinear degenerate diffusion equations on bounded domains part I. Existence, uniqueness and upper bounds

Nonlinear Analysis ◽

10.1016/j.na.2015.10.005 ◽

2016 ◽

Vol 131 ◽

pp. 363-398 ◽

Cited By ~ 16

Author(s):

Matteo Bonforte ◽

Juan Luis Vázquez

Keyword(s):

Upper Bounds ◽

Diffusion Equations ◽

Bounded Domains ◽

Degenerate Diffusion ◽

Degenerate Diffusion Equations ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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LARGE TIME BEHAVIOR OF THE SOLUTIONS OF NONLINEAR DEGENERATE DIFFUSION EQUATIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30203-0 ◽

1993 ◽

Vol 13 (2) ◽

pp. 167-179

Author(s):

Tao Luo ◽

Ling Xiao

Keyword(s):

Large Time ◽

Large Time Behavior ◽

Diffusion Equations ◽

Time Behavior ◽

Degenerate Diffusion ◽

Degenerate Diffusion Equations ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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$L^{p}$ -estimates of solutions of some nonlinear degenerate diffusion equations

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/03710041 ◽

1985 ◽

Vol 37 (1) ◽

pp. 41-63 ◽

Cited By ~ 25

Author(s):

Mitsuhiro NAKAO

Keyword(s):

Diffusion Equations ◽

Degenerate Diffusion ◽

Estimates Of Solutions ◽

Degenerate Diffusion Equations ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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A Priori Estimates for Fractional Nonlinear Degenerate Diffusion Equations on Bounded Domains

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-015-0861-2 ◽

2015 ◽

Vol 218 (1) ◽

pp. 317-362 ◽

Cited By ~ 41

Author(s):

Matteo Bonforte ◽

Juan Luis Vázquez

Keyword(s):

A Priori Estimates ◽

A Priori ◽

Diffusion Equations ◽

Bounded Domains ◽

Degenerate Diffusion ◽

Priori Estimates ◽

Degenerate Diffusion Equations ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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Some nonlinear degenerate diffusion equations with a nonlocally convective term in ecology

Hiroshima Mathematical Journal ◽

10.32917/hmj/1206133543 ◽

1983 ◽

Vol 13 (1) ◽

pp. 165-202 ◽

Cited By ~ 7

Author(s):

Toshitaka Nagai

Keyword(s):

Diffusion Equations ◽

Degenerate Diffusion ◽

Convective Term ◽

Degenerate Diffusion Equations ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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Dynamical Structure of Some Nonlinear Degenerate Diffusion Equations

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-012-9246-5 ◽

2012 ◽

Vol 24 (2) ◽

pp. 129-149

Author(s):

Hiroshi Matano ◽

M. Assunta Pozio

Keyword(s):

Diffusion Equations ◽

Dynamical Structure ◽

Degenerate Diffusion ◽

Degenerate Diffusion Equations ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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Blowup properties for nonlinear degenerate diffusion equations with nonlocal sources

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2009.02.006 ◽

2010 ◽

Vol 11 (2) ◽

pp. 1122-1130 ◽

Cited By ~ 3

Author(s):

Mei Li ◽

Meixia Chen

Keyword(s):

Diffusion Equations ◽

Degenerate Diffusion ◽

Nonlocal Sources ◽

Degenerate Diffusion Equations ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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Radial equivalence for the two basic nonlinear degenerate diffusion equations

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2007.09.002 ◽

2008 ◽

Vol 89 (1) ◽

pp. 1-24 ◽

Cited By ~ 20

Author(s):

Razvan Gabriel Iagar ◽

Ariel Sánchez ◽

Juan Luis Vázquez

Keyword(s):

Diffusion Equations ◽

Degenerate Diffusion ◽

Degenerate Diffusion Equations ◽

Nonlinear Degenerate Diffusion ◽

Nonlinear Degenerate

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