Nonnegative solutions of parabolic operators with low-order terms
We develop the harmonic analysis approach for parabolic operator with one order term in the parabolic Kato class on $C^{1,1}$-cylindrical domain $\Omega$. We study the boundary behaviour of nonnegative solutions. Using these results, we prove the integral representation theorem and the existence of...
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| Format: | Article |
| Language: | English |
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University of Szeged
2003-06-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=134 |
| _version_ | 1797830802762891264 |
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| author | L. Riahi |
| author_facet | L. Riahi |
| author_sort | L. Riahi |
| collection | DOAJ |
| description | We develop the harmonic analysis approach for parabolic operator with one order term in the parabolic Kato class on $C^{1,1}$-cylindrical domain $\Omega$. We study the boundary behaviour of nonnegative solutions. Using these results, we prove the integral representation theorem and the existence of nontangential limits on the boundary of $\Omega$ for nonnegative solutions. These results extend some first ones proved for less general parabolic operators. |
| first_indexed | 2024-04-09T13:41:57Z |
| format | Article |
| id | doaj.art-bc947b8763b04c26a893d8d8ceb88e72 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:41:57Z |
| publishDate | 2003-06-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-bc947b8763b04c26a893d8d8ceb88e722023-05-09T07:52:57ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752003-06-0120031211610.14232/ejqtde.2003.1.12134Nonnegative solutions of parabolic operators with low-order termsL. Riahi0Campus Universitaire, Tunis, TunisiaWe develop the harmonic analysis approach for parabolic operator with one order term in the parabolic Kato class on $C^{1,1}$-cylindrical domain $\Omega$. We study the boundary behaviour of nonnegative solutions. Using these results, we prove the integral representation theorem and the existence of nontangential limits on the boundary of $\Omega$ for nonnegative solutions. These results extend some first ones proved for less general parabolic operators.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=134 |
| spellingShingle | L. Riahi Nonnegative solutions of parabolic operators with low-order terms Electronic Journal of Qualitative Theory of Differential Equations |
| title | Nonnegative solutions of parabolic operators with low-order terms |
| title_full | Nonnegative solutions of parabolic operators with low-order terms |
| title_fullStr | Nonnegative solutions of parabolic operators with low-order terms |
| title_full_unstemmed | Nonnegative solutions of parabolic operators with low-order terms |
| title_short | Nonnegative solutions of parabolic operators with low-order terms |
| title_sort | nonnegative solutions of parabolic operators with low order terms |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=134 |
| work_keys_str_mv | AT lriahi nonnegativesolutionsofparabolicoperatorswithloworderterms |