Schauder type estimates for degenerate Kolmogorov equations with Dini continuous coefficients
Schauder type estimates for degenerate Kolmogorov equations with Dini continuous coefficients
<p style='text-indent:20px;'>We study the regularity properties of the second order linear operator in <inline-formula><tex-math id="M1">\begin{document}$ {{\mathbb {R}}}^{N+1} $\end{document}</tex-math></inline-formula>:</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} \mathscr{L} u : = \sum\limits_{j,k = 1}^{m} a_{jk}\partial_{x_j x_k}^2 u + \sum\limits_{j,k = 1}^{N} b_{jk}x_k \partial_{x_j} u - \partial_t u, \end{equation*} $\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>where <inline-formula><tex-math id="M2">\begin{document}$ …