Global Existence of Weak Solutions for the Nonlocal Energy-weighted Reaction-diffusion Equations

Mao-Sheng Chang; Hsi-Chun Wu

doi:10.11650/tjm/8167

Global Existence of Weak Solutions for the Nonlocal Energy-weighted Reaction-diffusion Equations

Taiwanese Journal of Mathematics ◽

10.11650/tjm/8167 ◽

2018 ◽

Vol 22 (3) ◽

pp. 695-723 ◽

Cited By ~ 2

Author(s):

Mao-Sheng Chang ◽

Hsi-Chun Wu

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Existence Of Weak Solutions

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Existence of weak solutions for the nonlocal energy-weighted fractional reaction–diffusion equations

Journal of Evolution Equations ◽

10.1007/s00028-019-00494-9 ◽

2019 ◽

Vol 19 (3) ◽

pp. 883-914

Author(s):

Mao-Sheng Chang ◽

Hsi-Chun Wu

Keyword(s):

Weak Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Existence Of Weak Solutions ◽

Fractional Reaction

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Global existence and asymptotic decay for systems of convective reaction-diffusion equations

Nonlinear Analysis ◽

10.1016/0362-546x(91)90209-j ◽

1991 ◽

Vol 17 (8) ◽

pp. 725-739 ◽

Cited By ~ 2

Author(s):

Selwyn L. Hollis ◽

Jeff Morgan

Keyword(s):

Global Existence ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Asymptotic Decay

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Global existence of branches of stationary solutions for a system of reaction diffusion equations from biology

Nonlinear Analysis ◽

10.1016/0362-546x(81)90097-3 ◽

1981 ◽

Vol 5 (5) ◽

pp. 487-498 ◽

Cited By ~ 21

Author(s):

Franz Rothe

Keyword(s):

Global Existence ◽

Reaction Diffusion ◽

Stationary Solutions ◽

Reaction Diffusion Equations ◽

Diffusion Equations

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Continuous dependence on the coefficients and global existence for stochastic reaction diffusion equations

Journal of Differential Equations ◽

10.1016/j.jde.2012.04.013 ◽

2012 ◽

Vol 253 (3) ◽

pp. 1036-1068 ◽

Cited By ~ 8

Author(s):

Markus Kunze ◽

Jan van Neerven

Keyword(s):

Global Existence ◽

Continuous Dependence ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Stochastic Reaction

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On the global existence and asymptotic behavior of solutions of reaction-diffusion equations

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1470081012 ◽

1983 ◽

Vol 12 (3) ◽

pp. 360-370 ◽

Cited By ~ 47

Author(s):

Kyûya MASUDA

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Asymptotic Behavior Of Solutions

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Strongest Convergence Results for Weak Solutions of Non-autonomous Reaction-Diffusion Equations with Carathéodory’s Nonlinearity

Qualitative and Quantitative Analysis of Nonlinear Systems - Studies in Systems, Decision and Control ◽

10.1007/978-3-319-59840-6_4 ◽

2017 ◽

pp. 89-109

Author(s):

Michael Z. Zgurovsky ◽

Pavlo O. Kasyanov

Keyword(s):

Weak Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Convergence Results

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Blow-up and global existence for nonlinear reaction-diffusion equations under Neumann boundary conditions

Journal of Inequalities and Applications ◽

10.1186/s13660-016-1029-9 ◽

2016 ◽

Vol 2016 (1) ◽

Cited By ~ 2

Author(s):

Juntang Ding

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Blow Up ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Neumann Boundary Conditions ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

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A Fujita type global existence-global nonexistence theorem for a weakly coupled system of reaction-diffusion equations

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf00945712 ◽

1991 ◽

Vol 42 (3) ◽

pp. 408-430 ◽

Cited By ~ 35

Author(s):

Howard A. Levine

Keyword(s):

Global Existence ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonexistence Theorem ◽

Weakly Coupled ◽

Weakly Coupled System ◽

Global Nonexistence

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Global Existence of Weak Solutions for Interface Equations Coupled with Diffusion Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/0523043 ◽

1992 ◽

Vol 23 (4) ◽

pp. 821-835 ◽

Cited By ~ 20

Author(s):

Yoshikazu Giga ◽

Shun’ichi Goto ◽

Hitoshi Ishii

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Diffusion Equations ◽

Existence Of Weak Solutions ◽

Interface Equations

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Weak solutions to quasilinear wave equations of Klein-Gordon or Sine-Gordon type and relaxation to reaction-diffusion equations

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s000300050024 ◽

1997 ◽

Vol 4 (4) ◽

pp. 439-457 ◽

Cited By ~ 2

Author(s):

Bruno Rubino

Keyword(s):

Weak Solutions ◽

Wave Equations ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Klein Gordon ◽

Quasilinear Wave Equations

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