We adapt the Levi parametrix method to prove existence, estimates, and qualitative properties of a global fundamental solution to ultraparabolic partial differential equations of Kolmogorov type. Existence and uniqueness results for the Cauchy problem are also proved.
Di Francesco M., Pascucci A. (2005). On a class of degenerate parabolic equations of Kolmogorov type. APPLIED MATHEMATICAL RESEARCH EXPRESS, 3, 77-116.
On a class of degenerate parabolic equations of Kolmogorov type
DI FRANCESCO, MARCO;PASCUCCI, ANDREA
2005
Abstract
We adapt the Levi parametrix method to prove existence, estimates, and qualitative properties of a global fundamental solution to ultraparabolic partial differential equations of Kolmogorov type. Existence and uniqueness results for the Cauchy problem are also proved.File in questo prodotto:
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