Sufficient conditions for nonexistence of gradient blow-up for nonlinear parabolic equations
| dc.contributor.author | Tersenov, Aris | |
| dc.date.accessioned | 2021-08-06T13:59:02Z | |
| dc.date.available | 2021-08-06T13:59:02Z | |
| dc.date.issued | 2007-04-17 | |
| dc.description.abstract | In this paper we study the initial-boundary value problems for nonlinear parabolic equations without Bernstein-Nagumo condition. Sufficient conditions guaranteeing the nonexistence of gradient blow-up are formulated. In particular, we show that for a wide class of nonlinearities the Lipschitz continuity in the space variable together with the strict monotonicity with respect to the solution guarantee that gradient blow-up cannot occur at the boundary or in the interior of the domain. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Tersenov, A. S. (2007). Sufficient conditions for nonexistence of gradient blow-up for nonlinear parabolic equations. Electronic Journal of Differential Equations, 2007(57), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14218 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Bernstein-Nagumo condition | |
| dc.subject | Gradient blow-up | |
| dc.subject | A priori estimates nonlinear parabolic equation | |
| dc.title | Sufficient conditions for nonexistence of gradient blow-up for nonlinear parabolic equations | |
| dc.type | Article |