Entropy solutions of exterior problems for nonlinear degenerate parabolic equations with nonhomogeneous boundary condition
dc.contributor.author | Zhang, Li | |
dc.contributor.author | Su, Ning | |
dc.date.accessioned | 2023-06-20T14:31:17Z | |
dc.date.available | 2023-06-20T14:31:17Z | |
dc.date.issued | 2016-03-18 | |
dc.description.abstract | In this article, we consider the exterior problem for the nonlinear degenerate parabolic equation ut - ∆b(u) + ∇ ⋅ ɸ(u) = F(u), (t, x) ∈ (0, T) x Ω, Ω is the exterior domain of Ω0 (a closed bounded domain in ℝN with its boundary Γ ∈ C1,1), b is non-decreasing and Lipschitz continuous, ɸ = (φ1,…,φN) is vectorial continuous, and F is Lipschitz continuous. In the nonhomogeneous boundary condition where b(u) = b(ɑ) on (0, T) x Γ, we establish the comparison and uniqueness, the existence using penalized method. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 11 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Zhang, L., & Su, N. (2016). Entropy solutions of exterior problems for nonlinear degenerate parabolic equations with nonhomogeneous boundary condition. <i>Electronic Journal of Differential Equations, 2016</i>(77), pp. 1-11. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/16949 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Degenerate parabolic equation | |
dc.subject | Exterior problem | |
dc.subject | Nonlinear | |
dc.subject | Entropy solution | |
dc.title | Entropy solutions of exterior problems for nonlinear degenerate parabolic equations with nonhomogeneous boundary condition | |
dc.type | Article |