|
This article is cited in 1 scientific paper (total in 1 paper)
Nonexistence of Global Weak Solutions for Evolution Equations with Fractional Laplacian
A. Z. Finoa, E. I. Galakhovb, O. A. Salievac a University of Tripoli
b Peoples' Friendship University of Russia, Moscow
c Moscow State Technological University "Stankin"
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.
Keywords:
parabolic equation, fractional Laplacian, blow-up of solutions.
Received: 17.11.2019
Citation:
A. Z. Fino, E. I. Galakhov, O. A. Salieva, “Nonexistence of Global Weak Solutions for Evolution Equations with Fractional Laplacian”, Mat. Zametki, 108:6 (2020), 911–919; Math. Notes, 108:6 (2020), 877–883
Linking options:
https://www.mathnet.ru/eng/mzm12931https://doi.org/10.4213/mzm12931 https://www.mathnet.ru/eng/mzm/v108/i6/p911
|
Statistics & downloads: |
Abstract page: | 208 | Full-text PDF : | 27 | References: | 27 | First page: | 12 |
|