Influence of variable coefficients on global existence of solutions of semilinear heat equations with nonlinear boundary conditions

We consider semilinear parabolic equations with nonlinear boundary con-ditions. We give conditions which guarantee global existence of solutions as well as blow-up in finite time of all solutions with nontrivial initial data. The results depend on the behavior of variable coefficients as t → ∞. © 2020, University of Szeged. All rights reserved.

Authors
Gladkov A. 1, 2 , Guedda M.3
Journal
Electronic Journal of Qualitative Theory of Differential Equations
Publisher
University of Szeged
Language
English
Pages
1-11
Status
Published
Link
External link
DOI
10.14232/ejqtde.2020.1.63
Number
63
Volume
2020
Year
2020
Organizations
  • 1 Belarusian State University, 4 Nezavisimosti Avenue, Minsk, 220030, Belarus
  • 2 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya street, Moscow, 117198, Russian Federation
  • 3 Université de Picardie, LAMFA, CNRS, UMR 7352, 33 rue Saint-Leu, Amiens, F-80039, France
Keywords
Finite time blow-up; Nonlinear boundary condition; Semilinear parabolic equation
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/72874/
Share

Other records