@article{Malytska_Burtnyak_2020, title={Construction of the fundamental solution of a class of degenerate parabolic equations of high order}, volume={12}, url={https://journals.pnu.edu.ua/index.php/cmp/article/view/3871}, DOI={10.15330/cmp.12.1.79-87}, abstractNote={<p>In the article, using the modified Levy method, a Green’s function for a class of ultraparabolic equations of high order with an arbitrary number of parabolic degeneration groups is constructed. The modified Levy method is developed for high-order Kolmogorov equations with coefficients depending on all variables, while the frozen point, which is a parametrix, is chosen so that an exponential estimate of the fundamental solution and its derivatives is conveniently used.</p>}, number={1}, journal={Carpathian Mathematical Publications}, author={Malytska, H.P. and Burtnyak, I.V.}, year={2020}, month={Jun.}, pages={79–87} }