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Matematicheskie Zametki, 2020, Volume 108, Issue 6, Pages 911–919
DOI: https://doi.org/10.4213/mzm12931 (Mi mzm12931) 		 
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"
Full-text PDF (499 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm12931
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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 5-100
Received: 17.11.2019
English version:
Mathematical Notes, 2020, Volume 108, Issue 6, Pages 877–883
DOI: https://doi.org/10.1134/S0001434620110292
Bibliographic databases:
Document Type: Article
UDC: 517.956.4
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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