Blow-up for p-Laplacian parabolic equations
| dc.contributor.author | Li, Yuxiang | |
| dc.contributor.author | Xie, Chunhong | |
| dc.date.accessioned | 2020-09-14T21:17:36Z | |
| dc.date.available | 2020-09-14T21:17:36Z | |
| dc.date.issued | 2003-02-28 | |
| dc.description.abstract | In this article we give a complete picture of the blow-up criteria for weak solutions of the Dirichlet problem ut = ∇(|∇u|p-2 ∇u) + λ|u|q-2u, in ΩT, where p > 1. In particular, for p > 2, q = p is the blow-up critical exponent and we show that the sharp blow-up condition involves the first eigenvalue of the problem -∇(|∇ψ|p-2 ∇ψ) = λ|ψ|p-2ψ, in Ω; ψ|∂Ω = 0. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Li, Y., & Xie, C. (2003). Blow-up for p-Laplacian parabolic equations. <i>Electronic Journal of Differential Equations, 2003</i>(20), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12611 | |
| 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, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | p-Laplacian parabolic equations | |
| dc.subject | Blow-up | |
| dc.subject | Global existence | |
| dc.subject | First eigenvalue | |
| dc.title | Blow-up for p-Laplacian parabolic equations | |
| dc.type | Article |