Nonexistence of Global Weak Solutions for Evolution Equations with Fractional Laplacian

Abstract: A nonlocal nonlinear parabolic equation with fractional Laplacian is considered. By means of the method of test functions, the nonexistence of nontrivial global weak solutions is demonstrated. Simultaneously, the nonexistence of nontrivial weak solutions for the corresponding elliptic case is established. © 2020, Pleiades Publishing, Ltd.

Authors
Fino A.Z.1 , Galakhov E.I. 2 , Salieva O.A. 3
Journal
Mathematical Notes
Number of issue
5-6
Language
English
Pages
877-883
Status
Published
Link
External link
DOI
10.1134/S0001434620110292
Volume
108
Year
2020
Organizations
  • 1 Lebanese University, Tripoli, 37, Lebanon
  • 2 Peoples’ Friendship University of Russia (RUDN University), Moscow, 117198, Russian Federation
  • 3 Moscow State Technological University “Stankin”, Moscow, 101472, Russian Federation
Keywords
blow-up of solutions; fractional Laplacian; parabolic equation
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/72589/
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