Initial Boundary Value Problems of Semi-Linear Sub-Diffusion with Gradient Terms

Initial Boundary Value Problems of Semi-Linear Sub-Diffusion with Gradient Terms

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 t...

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Bibliographic Details
Main Authors: Yabing Gao, Yongxiang Li
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Mathematics
Subjects:
fractional partial differential equations
gradient terms
classical solutions
fractional power of sectorial operator
Online Access:https://www.mdpi.com/2227-7390/8/10/1665

Internet

https://www.mdpi.com/2227-7390/8/10/1665

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