A Liouville theorem for vector valued semilinear heat equations with no gradient structure and applications to blow-up

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-10-04902-0 ◽

2010 ◽

Vol 362 (07) ◽

pp. 3391-3434 ◽

Author(s):

Nejla Nouaili ◽

Hatem Zaag

Keyword(s):

Liouville Theorem ◽

Blow Up ◽

Heat Equations ◽

Gradient Structure ◽

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Blow-up results for vector-valued nonlinear heat equations with no gradient structure

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(98)80002-4 ◽

1998 ◽

Vol 15 (5) ◽

pp. 581-622 ◽

Author(s):

Hatem Zaag

Keyword(s):

Blow Up ◽

Heat Equations ◽

Gradient Structure ◽

Nonlinear Heat Equations ◽

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A Liouville theorem and blowup behavior for a vector-valued nonlinear heat equation with no gradient structure

Communications on Pure and Applied Mathematics ◽

10.1002/1097-0312(200101)54:1<107::aid-cpa5>3.0.co;2-u ◽

2000 ◽

Vol 54 (1) ◽

pp. 107-133 ◽

Author(s):

Hatem Zaag

Keyword(s):

Heat Equation ◽

Liouville Theorem ◽

Nonlinear Heat Equation ◽

Gradient Structure ◽

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A Liouville theorem for vector-valued nonlinear heat equations and applications

Mathematische Annalen ◽

10.1007/s002080050006 ◽

2000 ◽

Vol 316 (1) ◽

pp. 103-137 ◽

Author(s):

Frank Merle ◽

Hatem Zaag

Keyword(s):

Liouville Theorem ◽

Heat Equations ◽

Nonlinear Heat Equations ◽

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Existence and blow-up of solutions to the fractional stochastic heat equations

Stochastic Partial Differential Equations Analysis and Computations ◽

10.1007/s40072-017-0103-8 ◽

2017 ◽

Vol 6 (1) ◽

pp. 73-108

Author(s):

Pavel Bezdek

Keyword(s):

Blow Up ◽

Heat Equations ◽

Stochastic Heat Equations

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Simultaneous and non-simultaneous blow-up for heat equations with coupled nonlinear boundary fluxes

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-007-5007-4 ◽

2007 ◽

Vol 58 (5) ◽

pp. 717-735 ◽

Author(s):

Fengjie Li ◽

Bingchen Liu ◽

Sining Zheng

Keyword(s):

Nonlinear Boundary ◽

Blow Up ◽

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Blow-up in Quasilinear Heat Equations Described by Hamilton—Jacobi Equations

A Stability Technique for Evolution Partial Differential Equations ◽

10.1007/978-1-4612-2050-3_10 ◽

2004 ◽

pp. 265-298

Author(s):

Victor A. Galaktionov ◽

Juan Luis Vázquez

Keyword(s):

Blow Up ◽

Heat Equations ◽

Jacobi Equations

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Properties of non-simultaneous blow-up in heat equations coupled via different localized sources

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.09.006 ◽

2010 ◽

Vol 217 (7) ◽

pp. 3403-3411 ◽

Author(s):

Bingchen Liu ◽

Fengjie Li

Keyword(s):

Blow Up ◽

Heat Equations ◽

Localized Sources

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The blow-up rate of solutions of semilinear heat equations

Journal of Differential Equations ◽

10.1016/0022-0396(89)90159-9 ◽

1989 ◽

Vol 77 (1) ◽

pp. 104-122 ◽

Author(s):

Wenxiong Liu

Keyword(s):

Blow Up ◽

Heat Equations ◽

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Eventual B-convexity: a Criterion of Complete Blow-up and Extinc- tion for Quasilinear Heat Equations

Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications ◽

10.1201/9780203998069-11 ◽

2004 ◽

pp. 127-146

Keyword(s):

Blow Up ◽

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Blow-up of solutions of nonlinear heat equations

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(88)90261-2 ◽

1988 ◽

Vol 129 (2) ◽

pp. 409-419 ◽

Author(s):

Luis A. Caffarrelli ◽

Avner Friedman

Keyword(s):

Blow Up ◽

Heat Equations ◽

Nonlinear Heat Equations

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