On quenching of solutions for some semilinear parabolic equations of second order

Bulletin of the Belgian Mathematical Society - Simon Stevin ◽

10.36045/bbms/1103055721 ◽

2000 ◽

Vol 7 (1) ◽

pp. 73-95 ◽

Author(s):

Théodore K. Boni

Keyword(s):

Parabolic Equations ◽

Second Order ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Blow Up of Solutions of Second Order Semilinear Parabolic Equations Under Robin Boundary Conditions

Springer Proceedings in Mathematics & Statistics - Computational Analysis ◽

10.1007/978-3-319-28443-9_15 ◽

2016 ◽

pp. 211-224

Author(s):

Jamila Kalantarova ◽

Mustafa Polat

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Blow Up ◽

Second Order ◽

Robin Boundary Conditions ◽

Semilinear Parabolic Equations ◽

Robin Boundary ◽

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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Second-Order Sufficient Optimality Conditions for Optimal Control of Nonsmooth, Semilinear Parabolic Equations

SIAM Journal on Control and Optimization ◽

10.1137/19m1239106 ◽

2019 ◽

Vol 57 (6) ◽

pp. 4033-4062 ◽

Author(s):

Livia M. Betz

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Parabolic Equations ◽

Second Order ◽

Sufficient Optimality Conditions ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Second-Order Lagrange Multiplier Rules in Multiobjective Optimal Control of Semilinear Parabolic Equations

Set-Valued and Variational Analysis ◽

10.1007/s11228-020-00555-z ◽

2020 ◽

Author(s):

Tuan Nguyen Dinh

Keyword(s):

Optimal Control ◽

Lagrange Multiplier ◽

Parabolic Equations ◽

Second Order ◽

Semilinear Parabolic Equations ◽

Multiplier Rules ◽

Multiobjective Optimal Control ◽

Semilinear Parabolic

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Two theorems on blow-up solutions for semilinear parabolic equations of second order

Comptes Rendus de l Académie des Sciences - Series I - Mathematics ◽

10.1016/s0764-4442(98)80101-8 ◽

1998 ◽

Vol 327 (1) ◽

pp. 47-52 ◽

Author(s):

Yuri V. Egorov ◽

Vladimir A. Kondratiev

Keyword(s):

Parabolic Equations ◽

Blow Up ◽

Second Order ◽

Semilinear Parabolic Equations ◽

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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