Influence of the node on the asymptotic behaviour of the solution to a semilinear parabolic problem in a thin graph-like junction

Arsen V. Klevtsovskiy; Taras A. Mel’nyk

doi:10.3233/asy-181511

Influence of the node on the asymptotic behaviour of the solution to a semilinear parabolic problem in a thin graph-like junction

Asymptotic Analysis ◽

10.3233/asy-181511 ◽

2019 ◽

Vol 113 (1-2) ◽

pp. 87-121

Author(s):

Arsen V. Klevtsovskiy ◽

Taras A. Mel’nyk

Keyword(s):

Asymptotic Behaviour ◽

Parabolic Problem ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problem

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Semilinear parabolic problem with nonstandard boundary conditions: Error estimates

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10035 ◽

2003 ◽

Vol 19 (2) ◽

pp. 167-191 ◽

Cited By ~ 3

Author(s):

Mari�n Slodi?ka

Keyword(s):

Boundary Conditions ◽

Error Estimates ◽

Parabolic Problem ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problem

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On Some Global Existence Theorems for a Semilinear Parabolic Problem

Applied Nonlinear Analysis ◽

10.1007/0-306-47096-9_6 ◽

2002 ◽

pp. 67-78 ◽

Cited By ~ 2

Author(s):

Yuri Vladimirovich Egorov ◽

Vladimir Alexandrovich Kondratiev

Keyword(s):

Global Existence ◽

Parabolic Problem ◽

Existence Theorems ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problem

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Weak Periodic Solution for Semilinear Parabolic Problem with Singular Nonlinearities and $$L^{1}$$ Data

Mediterranean Journal of Mathematics ◽

10.1007/s00009-020-01535-1 ◽

2020 ◽

Vol 17 (4) ◽

Author(s):

Abderrahim Charkaoui ◽

Nour Eddine Alaa

Keyword(s):

Periodic Solution ◽

Parabolic Problem ◽

Singular Nonlinearities ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problem

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Reconstruction of a convolution kernel in a semilinear parabolic problem based on a global measurement

Nonlinear Analysis ◽

10.1016/j.na.2014.09.002 ◽

2015 ◽

Vol 112 ◽

pp. 43-57 ◽

Cited By ~ 15

Author(s):

R.H. De Staelen ◽

M. Slodička

Keyword(s):

Parabolic Problem ◽

Convolution Kernel ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problem

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Reconstruction of an unknown source parameter in a semilinear parabolic problem

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.12.027 ◽

2015 ◽

Vol 289 ◽

pp. 331-345 ◽

Cited By ~ 5

Author(s):

Marijke Grimmonprez ◽

Marián Slodička

Keyword(s):

Parabolic Problem ◽

Source Parameter ◽

Unknown Source ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problem

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A Priori Estimates and the Representation Formula for All Positive Solutions to a Semilinear Parabolic Problem

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1999.6296 ◽

1999 ◽

Vol 232 (2) ◽

pp. 413-427 ◽

Cited By ~ 3

Author(s):

Qi S Zhang

Keyword(s):

Positive Solutions ◽

Parabolic Problem ◽

A Priori Estimates ◽

A Priori ◽

Representation Formula ◽

Priori Estimates ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problem

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Perturbation Analysis of a Semilinear Parabolic Problem with Nonlinear Boundary Conditions

Rocky Mountain Journal of Mathematics ◽

10.1216/rmjm/1181072111 ◽

1996 ◽

Vol 26 (1) ◽

pp. 195-212 ◽

Cited By ~ 6

Author(s):

A.A. Lacey ◽

J.R. Ockendon ◽

J. Sabina ◽

D. Salazar

Keyword(s):

Boundary Conditions ◽

Perturbation Analysis ◽

Parabolic Problem ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problem

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A semilinear parabolic problem with variable reaction on a general domain

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.04.020 ◽

2017 ◽

Vol 74 (3) ◽

pp. 351-359 ◽

Cited By ~ 1

Author(s):

Ricardo Castillo ◽

Miguel Loayza

Keyword(s):

Parabolic Problem ◽

General Domain ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problem

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Determination of an unknown diffusion coefficient in a semilinear parabolic problem

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.05.019 ◽

2013 ◽

Vol 246 ◽

pp. 104-112 ◽

Cited By ~ 5

Author(s):

K. Van Bockstal ◽

M. Slodička

Keyword(s):

Diffusion Coefficient ◽

Parabolic Problem ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problem ◽

Unknown Diffusion Coefficient

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Asymptotic approximation for the solution to a semilinear parabolic problem in a thin star-shaped junction

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4603 ◽

2017 ◽

Vol 41 (1) ◽

pp. 159-191 ◽

Cited By ~ 3

Author(s):

Arsen Klevtsovskiy ◽

Taras Mel'nyk

Keyword(s):

Asymptotic Approximation ◽

Parabolic Problem ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problem

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