TY - JOUR
AU - Malytska, H.P.
AU - Burtnyak, I.V.
PY - 2020/06/12
Y2 - 2024/09/14
TI - Construction of the fundamental solution of a class of degenerate parabolic equations of high order
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 -