Higher Order Asymptotic Expansion for the Heat Equation with a Nonlinear Boundary Condition

Funkcialaj Ekvacioj ◽

10.1619/fesi.57.57 ◽

2014 ◽

Vol 57 (1) ◽

pp. 57-89

Author(s):

Tatsuki Kawakami

Keyword(s):

Boundary Condition ◽

Asymptotic Expansion ◽

Heat Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

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Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition

Journal of Differential Equations ◽

10.1016/0022-0396(91)90056-f ◽

1991 ◽

Vol 92 (2) ◽

pp. 384-401 ◽

Author(s):

Julián López Gómez ◽

Viviana Márquez ◽

Noemí Wolanski

Keyword(s):

Boundary Condition ◽

Heat Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

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Boundary Layer of the Heat Equation in Several Variables with Nonlinear Boundary Condition as a Power-Type Function

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19890690125 ◽

1989 ◽

Vol 69 (1) ◽

pp. 51-52 ◽

Author(s):

G. A. Nesenenko

Keyword(s):

Boundary Layer ◽

Boundary Condition ◽

Heat Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Type Function ◽

Several Variables

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Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition

Tohoku Mathematical Journal ◽

10.2748/tmj/1113247131 ◽

2003 ◽

Vol 55 (4) ◽

pp. 565-581 ◽

Author(s):

Sheng-Chen Fu ◽

Jong-Shenq Guo ◽

Je-Chiang Tsai

Keyword(s):

Boundary Condition ◽

Heat Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Blow Up ◽

Semilinear Heat Equation

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Global solutions of the heat equation with a nonlinear boundary condition

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-010-0316-4 ◽

2010 ◽

Vol 39 (3-4) ◽

pp. 429-457 ◽

Author(s):

Kazuhiro Ishige ◽

Tatsuki Kawakami

Keyword(s):

Boundary Condition ◽

Heat Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Global Solutions

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On the blow-up rate for the heat equation with a nonlinear boundary condition

Mathematical Methods in the Applied Sciences ◽

10.1002/1099-1476(200010)23:15<1323::aid-mma167>3.0.co;2-w ◽

2000 ◽

Vol 23 (15) ◽

pp. 1323-1330 ◽

Author(s):

Miroslav Chleb�k ◽

Marek Fila

Keyword(s):

Boundary Condition ◽

Heat Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Blow Up ◽

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Sharp Estimate of the Life Span of Solutions to the Heat Equation with a Nonlinear Boundary Condition

Geometric Properties for Parabolic and Elliptic PDE's - Springer INdAM Series ◽

10.1007/978-3-030-73363-6_7 ◽

2012 ◽

pp. 127-149

Author(s):

Kotaro Hisa

Keyword(s):

Boundary Condition ◽

Heat Equation ◽

Life Span ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

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An Optimal Liouville Theorem for the Linear Heat Equation with a Nonlinear Boundary Condition

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-020-09917-5 ◽

2020 ◽

Author(s):

Pavol Quittner

Keyword(s):

Boundary Condition ◽

Heat Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Liouville Theorem ◽

Linear Heat Equation ◽

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On critical exponents for the heat equation with a nonlinear boundary condition

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(16)30120-2 ◽

1996 ◽

Vol 13 (6) ◽

pp. 707-732 ◽

Author(s):

Hu Bei ◽

Hong-Ming Yin

Keyword(s):

Boundary Condition ◽

Heat Equation ◽

Critical Exponents ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition

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Global existence of solutions for the heat equation with a nonlinear boundary condition

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.02.007 ◽

2010 ◽

Vol 368 (1) ◽

pp. 320-329 ◽

Author(s):

Tatsuki Kawakami

Keyword(s):

Boundary Condition ◽

Global Existence ◽

Heat Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Existence Of Solutions ◽

Global Existence Of Solutions

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Blowup of Solution for the Heat Equation with a Nonlinear Boundary Condition

Comparison methods and stability theory ◽

10.1201/9781003072140-15 ◽

2020 ◽

pp. 189-198

Author(s):

Bei Hu ◽

Hong-Ming Yin

Keyword(s):

Boundary Condition ◽

Heat Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition

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