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Applied Mathematics Research eXpress (2005) Vol. 2005 : article ID 77, 116 pages, doi:10.1155/AMRX.2005.77
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Copyright © 2005 Hindawi Publishing Corporation. All rights reserved.

On a class of degenerate parabolic equations of Kolmogorov type

Marco Di Francesco and Andrea Pascucci

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.


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