Regularity for entropy solutions of degenerate parabolic equations with Lm data
| dc.citation.epage | 132 | |
| dc.citation.issue | 1 | |
| dc.citation.journalTitle | Математичне моделювання та комп'ютинг | |
| dc.citation.spage | 119 | |
| dc.contributor.affiliation | Алжирський університет | |
| dc.contributor.affiliation | University of Algiers | |
| dc.contributor.author | Хеліфі, Х. | |
| dc.contributor.author | Khelifi, H. | |
| dc.coverage.placename | Львів | |
| dc.coverage.placename | Lviv | |
| dc.date.accessioned | 2025-03-04T11:54:54Z | |
| dc.date.created | 2023-02-28 | |
| dc.date.issued | 2023-02-28 | |
| dc.description.abstract | У цій статті досліджуються регулярні результати для ентропійних розв’язків класу параболічних нелінійних рівнянь із виродженою коерцитивністю, коли права частина знаходиться в Lm з m > 1. | |
| dc.description.abstract | In this paper, we study the regularity results for entropy solutions of a class of parabolic nonlinear parabolic equations with degenerate coercivity, when the right-hand side is in Lm with m > 1. | |
| dc.format.extent | 119-132 | |
| dc.format.pages | 14 | |
| dc.identifier.citation | Khelifi H. Regularity for entropy solutions of degenerate parabolic equations with Lm data / H. Khelifi // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2023. — Vol 10. — No 1. — P. 119–132. | |
| dc.identifier.citationen | Khelifi H. Regularity for entropy solutions of degenerate parabolic equations with Lm data / H. Khelifi // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2023. — Vol 10. — No 1. — P. 119–132. | |
| dc.identifier.doi | 10.23939/mmc2023.01.119 | |
| dc.identifier.uri | https://ena.lpnu.ua/handle/ntb/63504 | |
| dc.language.iso | en | |
| dc.publisher | Видавництво Львівської політехніки | |
| dc.publisher | Lviv Politechnic Publishing House | |
| dc.relation.ispartof | Математичне моделювання та комп'ютинг, 1 (10), 2023 | |
| dc.relation.ispartof | Mathematical Modeling and Computing, 1 (10), 2023 | |
| dc.relation.references | [1] Li F. Regularity for entropy solution of a class of parabolic equations with irregular data. Commentationes Mathematicae Universitatis Carolinae. 48 (1), 69–82 (2007). | |
| dc.relation.references | [2] Prignet A. Existence and uniqueness of “entropic” solutions of parabolic problems with L1 data. Nonlinear Analysis: Theory, Methods & Applications. 28 (12), 1943–1954 (1997). | |
| dc.relation.references | [3] Segura de Le´on S, Toledo J. Regularity for entropy solutions of parabolic p-Laplacian equations. Publicacions Matem`atiques. 43 (2), 665–683 (1999). | |
| dc.relation.references | [4] Blanchard D., Murat F. Renormalised solutions of nonlinear parabolic problems with L1 data: existence and uniqueness. Proceedings of the Royal Society of Edinburgh. Section A: Mathematics. 127 (6), 1137–1152 (1997). | |
| dc.relation.references | [5] Li F. Existence and regularity results for some parabolic equations with degenerate coercivity. Annales Academiæ Scientiarum Fennicæ Mathematica. 37, 605–633 (2012). | |
| dc.relation.references | [6] Mokhtari F., Khelifi H. Regularity results for degenerate parabolic equations with Lm data. Complex Variables and Elliptic Equations. 1–15 (2022). | |
| dc.relation.references | [7] B´enilan P. H., Boccardo L., Gallou¨et T., Gariepy R, Pierre M, Vazquez J. L. An L1-theory of existence and uniqueness of solutions of nonlinear elliptic equations. Annali della Scuola Normale Superiore di Pisa –Classe di Scienze, Serie 4. 22 (2), 241–273 (1995). | |
| dc.relation.references | [8] Boccardo L, Dall’Aglio A, Orsina A. Existence and regularity results for some elliptic equations with degenerate coercivity. Atti Del Seminario Matematico E Fisico Universita Di Modena. 46, 51–81 (1998). | |
| dc.relation.references | [9] B´enilan P. H, Brezis H, Crandall M. G. A semilinear equation in L1(RN ). Annali della Scuola Normale Superiore di Pisa – Classe di Scienze, Serie 4. 2 (4), 523–555 (1975). | |
| dc.relation.references | [10] Lions J. L. Quelques m´ethodes de r´esolution des probl`emes aux limites nonlin´eaires. Dunod, Paris (1969). | |
| dc.relation.references | [11] Simon J. Compact sets in the space Lp (0, T ; B). Annali di Matematica Pura ed Applicata. 146, 65–96 (1987). | |
| dc.relation.references | [12] Porretta A. Exestence results for nonlinear parabolic equations via strong convergence of truncations. Annali di Matematica Pura ed Applicata. 177, 143–172 (1999). | |
| dc.relation.references | [13] Di Benedetto E. Degenerate parabolic equations. Springer–Verlag, New York (1993). | |
| dc.relation.referencesen | [1] Li F. Regularity for entropy solution of a class of parabolic equations with irregular data. Commentationes Mathematicae Universitatis Carolinae. 48 (1), 69–82 (2007). | |
| dc.relation.referencesen | [2] Prignet A. Existence and uniqueness of "entropic" solutions of parabolic problems with L1 data. Nonlinear Analysis: Theory, Methods & Applications. 28 (12), 1943–1954 (1997). | |
| dc.relation.referencesen | [3] Segura de Le´on S, Toledo J. Regularity for entropy solutions of parabolic p-Laplacian equations. Publicacions Matem`atiques. 43 (2), 665–683 (1999). | |
| dc.relation.referencesen | [4] Blanchard D., Murat F. Renormalised solutions of nonlinear parabolic problems with L1 data: existence and uniqueness. Proceedings of the Royal Society of Edinburgh. Section A: Mathematics. 127 (6), 1137–1152 (1997). | |
| dc.relation.referencesen | [5] Li F. Existence and regularity results for some parabolic equations with degenerate coercivity. Annales Academiæ Scientiarum Fennicæ Mathematica. 37, 605–633 (2012). | |
| dc.relation.referencesen | [6] Mokhtari F., Khelifi H. Regularity results for degenerate parabolic equations with Lm data. Complex Variables and Elliptic Equations. 1–15 (2022). | |
| dc.relation.referencesen | [7] B´enilan P. H., Boccardo L., Gallou¨et T., Gariepy R, Pierre M, Vazquez J. L. An L1-theory of existence and uniqueness of solutions of nonlinear elliptic equations. Annali della Scuola Normale Superiore di Pisa –Classe di Scienze, Serie 4. 22 (2), 241–273 (1995). | |
| dc.relation.referencesen | [8] Boccardo L, Dall’Aglio A, Orsina A. Existence and regularity results for some elliptic equations with degenerate coercivity. Atti Del Seminario Matematico E Fisico Universita Di Modena. 46, 51–81 (1998). | |
| dc.relation.referencesen | [9] B´enilan P. H, Brezis H, Crandall M. G. A semilinear equation in L1(RN ). Annali della Scuola Normale Superiore di Pisa – Classe di Scienze, Serie 4. 2 (4), 523–555 (1975). | |
| dc.relation.referencesen | [10] Lions J. L. Quelques m´ethodes de r´esolution des probl`emes aux limites nonlin´eaires. Dunod, Paris (1969). | |
| dc.relation.referencesen | [11] Simon J. Compact sets in the space Lp (0, T ; B). Annali di Matematica Pura ed Applicata. 146, 65–96 (1987). | |
| dc.relation.referencesen | [12] Porretta A. Exestence results for nonlinear parabolic equations via strong convergence of truncations. Annali di Matematica Pura ed Applicata. 177, 143–172 (1999). | |
| dc.relation.referencesen | [13] Di Benedetto E. Degenerate parabolic equations. Springer–Verlag, New York (1993). | |
| dc.rights.holder | © Національний університет “Львівська політехніка”, 2023 | |
| dc.subject | регулярність | |
| dc.subject | ентропійні розв’язки | |
| dc.subject | вироджена коерцитивність | |
| dc.subject | дані Lm | |
| dc.subject | regularity | |
| dc.subject | entropy solutions | |
| dc.subject | degenerate coercivity | |
| dc.subject | Lm data | |
| dc.title | Regularity for entropy solutions of degenerate parabolic equations with Lm data | |
| dc.title.alternative | Регулярність ентропійних розв’язків вироджених параболічних рівнянь із даними Lm | |
| dc.type | Article |
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