Singular Solutions of Doubly Singular Parabolic Equations with Absorption
| dc.contributor.author | Qi, Yuanwei | |
| dc.contributor.author | Wang, Mingxin | |
| dc.date.accessioned | 2020-01-06T18:33:44Z | |
| dc.date.available | 2020-01-06T18:33:44Z | |
| dc.date.issued | 2000-11-08 | |
| dc.description.abstract | In this paper we study a doubly singular parabolic equation with absorption, u(t) = div(|∇um |p-2∇um) - uq with m > 0, p > 1, m(p - 1) < 1, and q > 1. We give a complete classification of solutions, which we call singular, that are non-negative non-trivial, continuous in ℝⁿ x [0,∞) \ {(0,0)}, and satisfy u(x,0) = 0 for all x ≠ 0. Applications of similar but simpler equations show that these solutions are very important in the study of intermediate asymptotic behavior of general solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 22 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Qi, Y., & Wang, M. (2000). Singular solutions of doubly singular parabolic equations with absorption. <i>Electronic Journal of Differential Equations, 2000</i>(67), pp. 1-22. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/9134 | |
| dc.language.iso | en | |
| dc.publisher | Southwest 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, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Doubly singular parabolic equation | |
| dc.subject | Absorption | |
| dc.subject | Singular solutions | |
| dc.title | Singular Solutions of Doubly Singular Parabolic Equations with Absorption | |
| dc.type | Article |