Harnack inequality and continuity of solutions to quasi-linear degenerate parabolic equations with coefficients from Kato-type classes
Harnack inequality and continuity of solutions to quasi-linear degenerate parabolic equations with coefficients from Kato-type classes
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DOI：
10.1016/j.jde.2009.08.018
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发表时间：
2009-08
影响因子：
2.4
通讯作者：
V. Liskevich;I. Skrypnik
中科院分区：
文献类型：
--
作者：
V. Liskevich;I. Skrypnik
对于一类广义散度型低阶系数可测拟线性退化抛物型方程，我们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。
For a general class of divergence type quasi-linear degenerate parabolic equations with measurable coefficients and lower order terms from nonlinear Kato-type classes, we prove local boundedness and continuity of solutions, and the intrinsic Harnack inequality for positive solutions.