An A Priori Estimate for the Modulus of Continuity of a Generalized Solution of a Parabolic Equation of Divergent Form with Degeneracy
We study parabolic equations of divergent form with degeneracy λ(x) with respect to the space variable. We establish an a priori estimate of the Hölder norm of generalized solutions. The problem is considered in parabolic cylinders having a special time dimension induced by the degeneracy λ(x).
Gespeichert in:
| Datum: | 2001 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2001
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4234 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510366132338688 |
|---|---|
| author | Verba, I. I. Kolody, I. M. Верба, И. И. Колодий, И. М. Верба, И. И. Колодий, И. М. |
| author_facet | Verba, I. I. Kolody, I. M. Верба, И. И. Колодий, И. М. Верба, И. И. Колодий, И. М. |
| author_sort | Verba, I. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:08Z |
| description | We study parabolic equations of divergent form with degeneracy λ(x) with respect to the space variable. We establish an a priori estimate of the Hölder norm of generalized solutions. The problem is considered in parabolic cylinders having a special time dimension induced by the degeneracy λ(x). |
| first_indexed | 2026-03-24T02:55:51Z |
| format | Article |
| fulltext |
0044
0045
0046
0047
0048
0049
0050
0051
0052
0053
0054
0055
0056
|
| id | umjimathkievua-article-4234 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:55:51Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/87/a0d6f9f3d9ec11ba5edfd096f3a2c487.pdf |
| spelling | umjimathkievua-article-42342020-03-18T20:25:08Z An A Priori Estimate for the Modulus of Continuity of a Generalized Solution of a Parabolic Equation of Divergent Form with Degeneracy Априорная оценка модуля непрерывности обобщенного решения параболического уравнения дивергентного вида с вырождением Verba, I. I. Kolody, I. M. Верба, И. И. Колодий, И. М. Верба, И. И. Колодий, И. М. We study parabolic equations of divergent form with degeneracy λ(x) with respect to the space variable. We establish an a priori estimate of the Hölder norm of generalized solutions. The problem is considered in parabolic cylinders having a special time dimension induced by the degeneracy λ(x). Вивчаються параболічні рівняння дивергентного вигляду з виродженням λ(x) за просторовою змінною. Встановлено апріорну оцінку норми Гельдера узагальнених розв'язків. Дослідження проводяться в параболічних циліндрах, які мають спеціальну розмірність за часовою змінною, індуковану виродженням λ(x). Institute of Mathematics, NAS of Ukraine 2001-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4234 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 2 (2001); 190-202 Український математичний журнал; Том 53 № 2 (2001); 190-202 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4234/5172 https://umj.imath.kiev.ua/index.php/umj/article/view/4234/5173 Copyright (c) 2001 Verba I. I.; Kolody I. M. |
| spellingShingle | Verba, I. I. Kolody, I. M. Верба, И. И. Колодий, И. М. Верба, И. И. Колодий, И. М. An A Priori Estimate for the Modulus of Continuity of a Generalized Solution of a Parabolic Equation of Divergent Form with Degeneracy |
| title | An A Priori Estimate for the Modulus of Continuity of a Generalized Solution of a Parabolic Equation of Divergent Form with Degeneracy |
| title_alt | Априорная оценка модуля непрерывности обобщенного
решения параболического уравнения дивергентного вида с вырождением |
| title_full | An A Priori Estimate for the Modulus of Continuity of a Generalized Solution of a Parabolic Equation of Divergent Form with Degeneracy |
| title_fullStr | An A Priori Estimate for the Modulus of Continuity of a Generalized Solution of a Parabolic Equation of Divergent Form with Degeneracy |
| title_full_unstemmed | An A Priori Estimate for the Modulus of Continuity of a Generalized Solution of a Parabolic Equation of Divergent Form with Degeneracy |
| title_short | An A Priori Estimate for the Modulus of Continuity of a Generalized Solution of a Parabolic Equation of Divergent Form with Degeneracy |
| title_sort | a priori estimate for the modulus of continuity of a generalized solution of a parabolic equation of divergent form with degeneracy |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4234 |
| work_keys_str_mv | AT verbaii anaprioriestimateforthemodulusofcontinuityofageneralizedsolutionofaparabolicequationofdivergentformwithdegeneracy AT kolodyim anaprioriestimateforthemodulusofcontinuityofageneralizedsolutionofaparabolicequationofdivergentformwithdegeneracy AT verbaii anaprioriestimateforthemodulusofcontinuityofageneralizedsolutionofaparabolicequationofdivergentformwithdegeneracy AT kolodijim anaprioriestimateforthemodulusofcontinuityofageneralizedsolutionofaparabolicequationofdivergentformwithdegeneracy AT verbaii anaprioriestimateforthemodulusofcontinuityofageneralizedsolutionofaparabolicequationofdivergentformwithdegeneracy AT kolodijim anaprioriestimateforthemodulusofcontinuityofageneralizedsolutionofaparabolicequationofdivergentformwithdegeneracy AT verbaii apriornaâocenkamodulânepreryvnostiobobŝennogorešeniâparaboličeskogouravneniâdivergentnogovidasvyroždeniem AT kolodyim apriornaâocenkamodulânepreryvnostiobobŝennogorešeniâparaboličeskogouravneniâdivergentnogovidasvyroždeniem AT verbaii apriornaâocenkamodulânepreryvnostiobobŝennogorešeniâparaboličeskogouravneniâdivergentnogovidasvyroždeniem AT kolodijim apriornaâocenkamodulânepreryvnostiobobŝennogorešeniâparaboličeskogouravneniâdivergentnogovidasvyroždeniem AT verbaii apriornaâocenkamodulânepreryvnostiobobŝennogorešeniâparaboličeskogouravneniâdivergentnogovidasvyroždeniem AT kolodijim apriornaâocenkamodulânepreryvnostiobobŝennogorešeniâparaboličeskogouravneniâdivergentnogovidasvyroždeniem AT verbaii aprioriestimateforthemodulusofcontinuityofageneralizedsolutionofaparabolicequationofdivergentformwithdegeneracy AT kolodyim aprioriestimateforthemodulusofcontinuityofageneralizedsolutionofaparabolicequationofdivergentformwithdegeneracy AT verbaii aprioriestimateforthemodulusofcontinuityofageneralizedsolutionofaparabolicequationofdivergentformwithdegeneracy AT kolodijim aprioriestimateforthemodulusofcontinuityofageneralizedsolutionofaparabolicequationofdivergentformwithdegeneracy AT verbaii aprioriestimateforthemodulusofcontinuityofageneralizedsolutionofaparabolicequationofdivergentformwithdegeneracy AT kolodijim aprioriestimateforthemodulusofcontinuityofageneralizedsolutionofaparabolicequationofdivergentformwithdegeneracy |