Loading...
Please wait, while we are loading the content...
Similar Documents
Initial Boundary Value Problems of Semi-Linear Sub-Diffusion with Gradient Terms
| Content Provider | MDPI |
|---|---|
| Author | Gao, Yabing Li, Yongxiang |
| Copyright Year | 2020 |
| Description | We consider the existence and uniqueness of the saturated classical solutions and the positive classical solutions to initial boundary value problems of semi-linear sub-diffusion with gradient terms. Applying this to the fractional power of the sectorial operator theory and the imbedding theory in the interpolation spaces, where the nonlinear term satisfies more general conditions, we obtain the existence and uniqueness of the saturated classical solutions. The results obtained generalize the recent conclusions on this topic. Finally, an example is given to illustrate the feasibility of our main results. |
| Starting Page | 1665 |
| e-ISSN | 22277390 |
| DOI | 10.3390/math8101665 |
| Journal | Mathematics |
| Issue Number | 10 |
| Volume Number | 8 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2020-09-27 |
| Access Restriction | Open |
| Subject Keyword | Mathematics Mathematical Physics Fractional Partial Differential Equations Gradient Terms Classical Solutions Fractional Power of Sectorial Operator |
| Content Type | Text |
| Resource Type | Article |
