Stability of anisotropic parabolic equations without boundary conditions
| dc.contributor.author | Zhan, Huashui | |
| dc.contributor.author | Feng, Zhaosheng | |
| dc.date.accessioned | 2021-10-01T14:59:50Z | |
| dc.date.available | 2021-10-01T14:59:50Z | |
| dc.date.issued | 2020-07-15 | |
| dc.description.abstract | In this article, we consider the equation ut = N∑i=1 (αi(x)|uxi |pi(x)-2 uxi)xi, with αi(x), pi(x) ∈ C1 (Ω̅) and pi(x) > 1. Where αi(x) = 0 if x ∈ ∂Ω, and αi(x) > 0 if x ∈ Ω, 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhan, H., & Feng, Z. (2020). Stability of anisotropic parabolic equations without boundary conditions. <i>Electronic Journal of Differential Equations, 2020</i>(74), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14581 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Parabolic equation | |
| dc.subject | Boundary condition | |
| dc.subject | Stability | |
| dc.subject | Holder inequality | |
| dc.title | Stability of anisotropic parabolic equations without boundary conditions | |
| dc.type | Article |