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 is positive and less than the potential well depth d. Finally, we establish the vacuum isolating and blow up of strong solutions.

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

PUCCI, Patrizia
2016

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 is positive and less than the potential well depth d. Finally, we establish the vacuum isolating and blow up of strong solutions.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1384789
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