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$C^{\alpha}$ regularity of weak solutions of non-homogenous ultraparabolic equations with drift terms. (arXiv:1704.05323v1 [math.AP])
来源于:arXiv
Consider a class of non-homogenous ultraparabolic differential equations with
drift terms or lower order terms arising from some physical models, and we
prove that weak solutions are H\"{o}lder continuous, which also generalizes the
classic results of parabolic equations of second order. The main ingredients
are a type of weak Poincar\'{e} inequality satisfied by non-negative weak
sub-solutions and Moser iteration. 查看全文>>