Lateral boundary differentiability of solutions of parabolic equations in nondivergence form

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• 作者：Yongpan Huang ; Dongsheng Li ; Lihe Wang
• 关键词：Lateral boundary differentiability ; Parabolic equations
• 刊名：Journal of Differential Equations
• 出版年：2013
• 出版时间：15 November, 2013
• 年：2013
• 卷：255
• 期：10
• 页码：3491-3504
• 全文大小：256 K

文摘

The lateral boundary differentiability is shown for solutions of parabolic differential equations in nondivergence form under the assumptions that the parabolic boundary satisfies the exterior Dini condition and is punctually differentiable one-sided in t-direction. The classical barrier technique, the maximum principle, the interior Harnack inequality and an iteration procedure are the main analytical tools.