An Lp-approach for the study of degenerate parabolic equations
| dc.contributor.author | Labbas, Rabah | |
| dc.contributor.author | Medeghri, Ahmed | |
| dc.contributor.author | Sadallah, Boubaker-Khaled | |
| dc.date.accessioned | 2021-05-20T19:42:39Z | |
| dc.date.available | 2021-05-20T19:42:39Z | |
| dc.date.issued | 2005-03-29 | |
| dc.description.abstract | We give regularity results for solutions of a parabolic equation in non-rectangular domains U = ∪t∈]0, 1[</sub> {t} x It with It = {x : 0 < x < φ(t)}. The optimal regularity is obtained in the framework of the space Lp with p > 3/2 by considering the following cases: (1) When φ(t) = tα, α > 1/2 with a p > 1 + α. We use Labbas-Terreni results [11]. (2) When φ(t) = t1/2 with a right-hand side taken only in Lp(U). Our approach make use of the celebrated Dore-Venni results [2]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Labbas, R., Medeghri, A., & Sadallah, B. K. (2005). An Lp-approach for the study of degenerate parabolic equations. <i>Electronic Journal of Differential Equations, 2005</i>(36), pp. 1-20. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13610 | |
| 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, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Sum of linear operators | |
| dc.subject | Diffusion equation | |
| dc.subject | Non rectangular domain | |
| dc.subject | Bounded imaginary powers of operators | |
| dc.title | An Lp-approach for the study of degenerate parabolic equations | |
| dc.type | Article |