TY - JOUR AU - Malytska, H.P. AU - Burtnyak, I.V. PY - 2020/06/12 Y2 - 2024/03/29 TI - Construction of the fundamental solution of a class of degenerate parabolic equations of high order: Array JF - Carpathian Mathematical Publications JA - Carpathian Math. Publ. VL - 12 IS - 1 SE - Scientific articles DO - 10.15330/cmp.12.1.79-87 UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/3871 SP - 79-87 AB - <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> ER -