On solutions of space-fractional diffusion equations by means of potential wells
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 $J(u_0)$ is positive and less than the potential well depth $d$....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2016-09-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5288 |