Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition

We prove the global existence and blow-up of solutions of an initial boundary value problem for nonlinear nonlocal parabolic equation with nonlinear nonlocal boundary condition. Obtained results depend on the behavior of variable coefficients for large values of time. © 2020 John Wiley & Sons, Ltd.

Authors
Gladkov A. 1, 2 , Kavitova T.3
Journal
Mathematical Methods in the Applied Sciences
Publisher
John Wiley and Sons Ltd
Number of issue
8
Language
English
Pages
5464-5479
Status
Published
Link
External link
DOI
10.1002/mma.6286
Volume
43
Year
2020
Organizations
  • 1 Department of Mechanics and Mathematics, Belarusian State University, 4 Nezavisimosti Avenue, Minsk, 220030, Belarus
  • 2 Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 3 Department of Mathematics and Information Technologies, Vitebsk State University, Moskovskii pr. 33, Vitebsk, 210038, Belarus
Keywords
blow-up; nonlinear parabolic equation; nonlocal boundary condition
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64706/
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