Open AccessOn a class of degenerate parabolic equations of Kolmogorov type
Author(s) -
Marco Di Francesco,
Andrea Pascucci
Publication year - 2005
Publication title -
applied mathematics research express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.763
H-Index - 20
eISSN - 1687-1200
pISSN - 1687-1197
DOI - 10.1155/amrx.2005.77
Subject(s) - parametrix , mathematics , uniqueness , partial differential equation , pure mathematics , cauchy problem , initial value problem , mathematical analysis , elliptic partial differential equation
We adapt the Levi's 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.
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