On solutions of space-fractional diffusion equations by means of potential wells

Fu Yongqiang and Pucci Patrizia: On solutions of space-fractional diffusion equations by means of potential wells. (2016)

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Abstract

In this paper, we study the initial boundary value problem of space-fractional diffusion equations. First, we introduce a family of potential wells. Then we show the existence of global weak solutions, provided that the initial energy J(u0) is positive and less than the potential well depth d. Finally, we establish the vacuum isolating and blow up of strong solutions.

Item Type: Journal
Other title: Honoring the career of Tibor Krisztin on the occasion of his sixtieth birthday
Publication full: Electronic journal of qualitative theory of differential equations : special edition
Date: 2016
Volume: 2
Number: 70
ISSN: 1417-3875
Number of Pages: 17
Language: English
DOI: 10.14232/ejqtde.2016.1.70
Uncontrolled Keywords: Differenciálegyenlet - késleltetett
Additional Information: Bibliogr.: p. 15-17. ; összefoglalás angol nyelven
Date Deposited: 2021. Nov. 11. 13:21
Last Modified: 2021. Nov. 12. 09:42
URI: http://acta.bibl.u-szeged.hu/id/eprint/73737

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