Stability of steady states for one dimensional parabolic equations with nonlinear boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.02.043 ◽

2013 ◽

Vol 404 (1) ◽

pp. 11-28

Author(s):

Junichi Harada

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Steady States ◽

One Dimensional

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Destabilization of uniform steady states in linear diffusion systems with nonlinear boundary conditions

Nonlinear Dynamics in Partial Differential Equations ◽

10.2969/aspm/06410201 ◽

2019 ◽

Author(s):

Atsushi Anma ◽

Kunimochi Sakamoto

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Steady States ◽

Linear Diffusion ◽

Diffusion Systems

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Block Monotone Iterative Method for Semilinear Parabolic Equations with Nonlinear Boundary Conditions

SIAM Journal on Numerical Analysis ◽

10.1137/090748706 ◽

2010 ◽

Vol 47 (6) ◽

pp. 4581-4606 ◽

Author(s):

C. V. Pao ◽

Xin Lu

Keyword(s):

Iterative Method ◽

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Monotone Iterative Method ◽

Semilinear Parabolic Equations ◽

Monotone Iterative ◽

Semilinear Parabolic

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Galerkin methods for parabolic equations with nonlinear boundary conditions

Numerische Mathematik ◽

10.1007/bf01436565 ◽

1973 ◽

Vol 20 (3) ◽

pp. 213-237 ◽

Author(s):

Jim Douglas ◽

Todd Dupont

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Galerkin Methods

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Quasilinear parabolic equations with nonlinear boundary conditions

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(99)00363-5 ◽

2000 ◽

Vol 126 (1-2) ◽

pp. 339-349

Author(s):

Chin-Yuan Lin

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Quasilinear Parabolic Equations ◽

Quasilinear Parabolic

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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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Equilibria, Connecting Orbits and a Priori Bounds for Semilinear Parabolic Equations with Nonlinear Boundary Conditions

Journal of Dynamics and Differential Equations ◽

10.1023/b:jody.0000041282.14930.7a ◽

2004 ◽

Vol 16 (1) ◽

pp. 91-138 ◽

Author(s):

Michel Chipot ◽

Pavol Quittner

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

A Priori ◽

Nonlinear Boundary Conditions ◽

Semilinear Parabolic Equations ◽

A Priori Bounds ◽

Connecting Orbits ◽

Semilinear Parabolic

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Quenching of solutions of parabolic equations with nonlinear boundary conditions in several dimensions.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1983.345.23 ◽

1983 ◽

Vol 1983 (345) ◽

pp. 23-38

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions

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Global existence and blow-up of solutions for parabolic equations involving the Laplacian under nonlinear boundary conditions.

TURKISH JOURNAL OF MATHEMATICS ◽

10.3906/mat-2103-11 ◽

2021 ◽

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions

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New Blow-up Conditions to $p$-Laplace Type Nonlinear Parabolic Equations under Nonlinear Boundary Conditions

10.22541/au.159819167.72015576 ◽

2020 ◽

Author(s):

Soon Yeong Chung ◽

Jaeho Hwang

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Nonlinear Parabolic Equations ◽

Nonlinear Parabolic ◽

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Continuum of one‐sign solutions of one‐dimensional Minkowski‐curvature problem with nonlinear boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7578 ◽

2021 ◽

Author(s):

Yanqiong Lu ◽

Zhengqi Jing

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

One Dimensional ◽

Curvature Problem

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