Huashui Zhan, Zhaosheng Feng
In this article, we consider the equation
with and . Where if , and if , without any boundary conditions. We propose an analytical method for studying the stability of weak solutions. We also study the uniqueness of a weak solution, and establish its stability under certain conditions.
Submitted December 9, 2019. Published July 15, 2020.
Math Subject Classifications: 35K15, 35B35, 35K55.
Key Words: Parabolic equation; boundary condition; stability; Holder inequality.
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| Huashui Zhan |
School of Applied Mathematics
Xiamen University of Technology
Xiamen, Fujian 361024, China
| Zhaosheng Feng |
School of Mathematical and Statistical Sciences
University of Texas Rio Grande Valley
Edinburg, TX 78539, USA
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