Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium

Juliana Fernandes;  ; Liliane Maia;

doi:10.3934/dcds.2020318

Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020318 ◽

2019 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Juliana Fernandes ◽

◽

Liliane Maia ◽

Keyword(s):

Parabolic Problem ◽

Blow Up ◽

Bounded Solutions ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problem

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Lower bounds for the blow-up time in a semilinear parabolic problem involving a variable source

Applied Mathematics Letters ◽

10.1016/j.aml.2013.07.012 ◽

2014 ◽

Vol 27 ◽

pp. 49-52 ◽

Cited By ~ 12

Author(s):

Khadijeh Baghaei ◽

Mohammad Bagher Ghaemi ◽

Mahmoud Hesaaraki

Keyword(s):

Lower Bounds ◽

Parabolic Problem ◽

Blow Up ◽

Variable Source ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problem

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Bounds for blow-up time in a semilinear parabolic problem with viscoelastic term

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.05.018 ◽

2017 ◽

Vol 74 (4) ◽

pp. 736-743 ◽

Cited By ~ 2

Author(s):

Shuying Tian

Keyword(s):

Parabolic Problem ◽

Blow Up ◽

Semilinear Parabolic ◽

Viscoelastic Term ◽

Semilinear Parabolic Problem

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Blow-up in a semilinear parabolic problem with variable source under positive initial energy

Applicable Analysis ◽

10.1080/00036811.2014.956733 ◽

2014 ◽

Vol 94 (9) ◽

pp. 1888-1896 ◽

Cited By ~ 7

Author(s):

Ali Khelghati ◽

Khadijeh Baghaei

Keyword(s):

Parabolic Problem ◽

Blow Up ◽

Initial Energy ◽

Variable Source ◽

Positive Initial Energy ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problem

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On the Dependence of the Blow-Up Time with Respect to the Initial Data in a Semilinear Parabolic Problem

Communications in Partial Differential Equations ◽

10.1081/pde-120020494 ◽

2003 ◽

Vol 28 (3-4) ◽

pp. 737-744 ◽

Cited By ~ 7

Author(s):

Pablo Groisman ◽

Julio D. Rossi ◽

Hatem Zaag

Keyword(s):

Initial Data ◽

Parabolic Problem ◽

Blow Up ◽

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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