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arXiv 0908.0276math.AP
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Harnack不等式与Kato型拟线性degenerate parabolic equations方程解的连续性

Harnack inequality and continuity of solutions to quasi-linear degenerate parabolic equations with coeffcients from Kato-type classes

Vitali Liskevich, Igor I. Skrypnik

摘要:

对一类具有可测系数和低阶项的非线性Kato型拟线性退化抛物方程,证明了解的局部有界性和连续性,以及正解的固有Harnack不等式.

英文摘要:

For a general class of divergence type quasi-linear degenerate parabolic equations with measurable coeffcients and lower order terms from non-linear Kato-type classes, we prove local boundedness and continuity of solutions, and the intrinsic Harnack inequality for positive solutions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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