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

By Yongqiang Fu, Patrizia Pucci. 2016

66 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Mathematical Physics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/ac857a003159766c2e5fbcc575f6dd20df2a1998

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Jun Cao
2. Ning Pan
3. Binlin Zhang
4. Mingqi Xiang
5. Vicentiu D. Rădulescu
6. Patrizia Pucci

In Mathematical Physics

1. Ning Pan
2. Jun Cao
3. Binlin Zhang

In Modeling and Simulation

1. Binlin Zhang

Citations in the corpus

• Degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian (2017, background): “Using [8], we can get an equivalent norm on W0 defined as ‖v‖W0(Ω) = (∫∫”