Galerkin/Runge–Kutta Discretizations for Semilinear Parabolic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0727024 ◽

1990 ◽

Vol 27 (2) ◽

pp. 394-418 ◽

Author(s):

Stephen L. Keeling

Keyword(s):

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Runge Kutta ◽

Semilinear Parabolic

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Fast High-Order Compact Exponential Time Differencing Runge–Kutta Methods for Second-Order Semilinear Parabolic Equations

Journal of Scientific Computing ◽

10.1007/s10915-015-0117-1 ◽

2015 ◽

Vol 67 (3) ◽

pp. 1043-1065 ◽

Author(s):

Liyong Zhu ◽

Lili Ju ◽

Weidong Zhao

Keyword(s):

Parabolic Equations ◽

Second Order ◽

Semilinear Parabolic Equations ◽

Exponential Time ◽

Exponential Time Differencing ◽

Runge Kutta ◽

Semilinear Parabolic

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Global Existence, Exponential Decay and Blow-up in Finite Time for a Class of Finitely Degenerate Semilinear Parabolic Equations

Acta Mathematica Scientia ◽

10.1007/s10473-019-0508-8 ◽

2019 ◽

Vol 39 (5) ◽

pp. 1290-1308 ◽

Author(s):

Hua Chen ◽

Huiyang Xu

Keyword(s):

Global Existence ◽

Exponential Decay ◽

Parabolic Equations ◽

Finite Time ◽

Blow Up ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Global existence and local continuity of solutions for semilinear parabolic equations

Communications in Partial Differential Equations ◽

10.1080/03605309708821310 ◽

1997 ◽

Vol 22 (9-10) ◽

pp. 1529-1557 ◽

Author(s):

S. Zhang

Keyword(s):

Global Existence ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Continuity Of Solutions ◽

Semilinear Parabolic

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Asymptotic behavior and blow up of solutions for semilinear parabolic equations at critical energy level

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2009.08.028 ◽

2009 ◽

Vol 80 (4) ◽

pp. 808-813 ◽

Author(s):

Xu Runzhang

Keyword(s):

Asymptotic Behavior ◽

Energy Level ◽

Parabolic Equations ◽

Blow Up ◽

Critical Energy ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Boundedness and Almost Periodicity of Solutions for a Class of Semilinear Parabolic Equations with Boundary Degeneracy

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-020-0200-2 ◽

2020 ◽

Vol 41 (2) ◽

pp. 303-324

Author(s):

Yi Xie ◽

Peidong Lei

Keyword(s):

Parabolic Equations ◽

Almost Periodicity ◽

Semilinear Parabolic Equations ◽

Boundary Degeneracy ◽

Semilinear Parabolic

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Exact decay estimates for solutions to semilinear parabolic equations

Applicable Analysis ◽

10.1080/00036819108840034 ◽

1991 ◽

Vol 42 (1-4) ◽

pp. 69-81 ◽

Author(s):

J.M. Ghidaglia ◽

A. Marzocchi

Keyword(s):

Parabolic Equations ◽

Decay Estimates ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Asymptotics of eigenvalues of the Jacobi matrix of a system of semilinear parabolic equations

Mathematical Notes ◽

10.1134/s0001434611010263 ◽

2011 ◽

Vol 89 (1-2) ◽

pp. 206-213

Author(s):

A. S. Bratus’ ◽

M. V. Safro

Keyword(s):

Parabolic Equations ◽

Jacobi Matrix ◽

Semilinear Parabolic Equations ◽

Asymptotics Of Eigenvalues ◽

Semilinear Parabolic

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Heteroclinic Orbits of Semilinear Parabolic Equations

Journal of Differential Equations ◽

10.1006/jdeq.1996.0031 ◽

1996 ◽

Vol 125 (1) ◽

pp. 239-281 ◽

Author(s):

Bernold Fiedler ◽

Carlos Rocha

Keyword(s):

Parabolic Equations ◽

Heteroclinic Orbits ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Optimal control problems governed by some semilinear parabolic equations

Nonlinear Analysis ◽

10.1016/j.na.2003.09.013 ◽

2004 ◽

Vol 56 (2) ◽

pp. 241-252 ◽

Author(s):

Sang-Uk Ryu

Keyword(s):

Optimal Control ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Linear and Semilinear Parabolic Equations on BUC(ℝN)

Mathematische Nachrichten ◽

10.1002/mana.19961790108 ◽

1996 ◽

Vol 179 (1) ◽

pp. 107-118 ◽

Author(s):

Matthias Hieber ◽

Pablo Koch - Medina ◽

Sandro Merino

Keyword(s):

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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