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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| Published in | Electronic journal of qualitative theory of differential equations Vol. 2003; no. 12; pp. 1 - 16 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
University of Szeged
01.06.2003
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| Online Access | Get full text |
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| Summary: | 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. |
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| ISSN: | 1417-3875 1417-3875 |
| DOI: | 10.14232/ejqtde.2003.1.12 |