| Abstract: |
| We provide here some sharp Schauder estimates for degenerate partial differential equations of Kolmogorov type with non-linear first order term. Our method is based on parametrix techniques and provides, even in the non-degenerate framework,
an alternative approach to Schauder estimates.
As a consequence of our main estimates, we derive through suitable pointwise gradient bounds the well strong posedness of
a chain of related degenerate stochastic differential equations. |
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