On a singularly perturbed mixed problem for a linear parabolic equation with nonlinear boundary conditions

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542514010023 ◽

2014 ◽

Vol 54 (1) ◽

pp. 74-82 ◽

Author(s):

A. A. Belolipetskii ◽

A. M. Ter-Krikorov

Keyword(s):

Parabolic Equation ◽

Boundary Conditions ◽

Mixed Problem ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Singularly Perturbed ◽

Linear Parabolic Equation

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Investigation of Thermal Resonance in Solution of a Two-Dimensional Singularly Perturbed Boundary-Value Problem of Nonstationary Heat Conduction with Nonlinear Boundary Conditions of the Stefan–Boltzmann Type

Journal of Engineering Physics and Thermophysics ◽

10.1023/b:joep.0000045149.48583.e6 ◽

2004 ◽

Vol 77 (4) ◽

pp. 700-706 ◽

Author(s):

A. V. Kotovich ◽

G. A. Nesenenko

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Boundary Value ◽

Nonlinear Boundary Conditions ◽

Singularly Perturbed ◽

Nonstationary Heat ◽

Two Dimensional ◽

Nonstationary Heat Conduction

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Analysis on blow-up time of parabolic equation system with nonlinear boundary conditions

10.1109/ccdc52312.2021.9602189 ◽

2021 ◽

Author(s):

Zhang Xiaoyue ◽

Zhang Lingling

Keyword(s):

Parabolic Equation ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Equation System

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Homogenization limit of a parabolic equation with nonlinear boundary conditions

Journal of Differential Equations ◽

10.1016/j.jde.2011.06.002 ◽

2011 ◽

Vol 251 (6) ◽

pp. 1447-1474

Author(s):

Bendong Lou

Keyword(s):

Parabolic Equation ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions

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The method of boundary integral equations for two-dimensional singularly perturbed nonstationary heat problems with nonlinear boundary conditions

Differential Equations ◽

10.1007/bf02754303 ◽

2000 ◽

Vol 36 (9) ◽

pp. 1284-1295

Author(s):

G. A. Nesenenko

Keyword(s):

Boundary Conditions ◽

Integral Equations ◽

Nonlinear Boundary ◽

Boundary Integral Equations ◽

Nonlinear Boundary Conditions ◽

Boundary Integral ◽

Singularly Perturbed ◽

Nonstationary Heat ◽

Two Dimensional

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Global and blowup solutions of a mixed problem with nonlinear boundary conditions for a one-dimensional semilinear wave equation

Sbornik Mathematics ◽

10.1070/sm2014v205n04abeh004388 ◽

2014 ◽

Vol 205 (4) ◽

pp. 573-599 ◽

Author(s):

S. S. Kharibegashvili ◽

O. M. Jokhadze

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Mixed Problem ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

One Dimensional ◽

Semilinear Wave Equation

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The behavior of the solutions of a certain mixed problem with nonlinear boundary conditions

Czechoslovak Mathematical Journal ◽

10.21136/cmj.1973.101192 ◽

1973 ◽

Vol 23 (3) ◽

pp. 500-508

Author(s):

Jerzy Muszyński

Keyword(s):

Boundary Conditions ◽

Mixed Problem ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions

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Blow-up for a localized singular parabolic equation with weighted nonlocal nonlinear boundary conditions

Annales Polonici Mathematici ◽

10.4064/ap114-2-7 ◽

2015 ◽

Vol 114 (2) ◽

pp. 179-196

Author(s):

Youpeng Chen ◽

Baozhu Zheng

Keyword(s):

Parabolic Equation ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Singular Parabolic Equation ◽

Nonlocal Nonlinear

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Regularity and asymptotic behavior for the second order parabolic equation with nonlinear boundary conditions in Lp

Journal of Differential Equations ◽

10.1016/0022-0396(81)90063-2 ◽

1981 ◽

Vol 39 (3) ◽

pp. 311-344 ◽

Author(s):

Nicholas D. Alikakos

Keyword(s):

Asymptotic Behavior ◽

Parabolic Equation ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Second Order ◽

Order Parabolic Equation

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NUMERICAL BLOW-UP TIME FOR A PARABOLIC EQUATION WITH NONLINEAR BOUNDARY CONDITIONS*

International Journal of Numerical Methods and Applications ◽

10.17654/nm017340141 ◽

2018 ◽

Vol 17 (3-4) ◽

pp. 141-160

Author(s):

N’dri K. Cyrille ◽

Touré K. Augustin ◽

Yoro Gozo

Keyword(s):

Parabolic Equation ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions

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Existence and uniqueness of generalized solution of two point nonlocal boundary conditions of mixed problem for second order linear parabolic equation

International Mathematical Forum ◽

10.12988/imf.2013.13014 ◽

2013 ◽

Vol 8 ◽

pp. 133-144

Author(s):

M. Z. Djibibe

Keyword(s):

Parabolic Equation ◽

Boundary Conditions ◽

Mixed Problem ◽

Existence And Uniqueness ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Generalized Solution ◽

Second Order ◽

Linear Parabolic Equation ◽

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