Renormalized solutions for nonlinear parabolic equations with general measure data
| dc.contributor.author | Abdellaoui, Mohammed | |
| dc.contributor.author | Azroul, Elhoussine | |
| dc.date.accessioned | 2022-02-14T21:33:13Z | |
| dc.date.available | 2022-02-14T21:33:13Z | |
| dc.date.issued | 2018-06-27 | |
| dc.description.abstract | We prove the existence of parabolic initial boundary value problems of the type ut - div(αε(t, x, uε, ∇uε)) = με in Q ≔ (0, T) x Ω, uε = 0 on (0, T) x ∂Ω, uε(0) = u0,ε in Ω, with respect to suitable convergence of the nonlinear operators αε and of the measure data με. As a consequence, we obtain the existence of a renormalized solution for a general class of nonlinear parabolic equations with right-hand side measure. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 29 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Abdellaoui, M., & Azroul, E. (2018). Renormalized solutions for nonlinear parabolic equations with general measure data. <i>Electronic Journal of Differential Equations, 2018</i>(132), pp. 1-21. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15332 | |
| 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonlinear parabolic problems | |
| dc.subject | p-Capacity | |
| dc.subject | Renormalized solution | |
| dc.subject | Stability | |
| dc.subject | General measure | |
| dc.title | Renormalized solutions for nonlinear parabolic equations with general measure data | en_US |
| dc.type | Article |