We adapt Levi's parametrix method to construct a local fundamental solutions for operators of the form sum_{i=1}^m X_i^2, where X_1,ldots, X_m are H"ormander vector fields of step 2 having non-smooth coefficients. We also provide estimates of the fundamental solution and of its derivatives.
Titolo: | Fundamental solutions for sum of squares of vector fields operators with C^{1,α} coefficients |
Autore/i: | MANFREDINI, MARIA |
Autore/i Unibo: | |
Anno: | 2012 |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1515/FORM.2011.093 |
Abstract: | We adapt Levi's parametrix method to construct a local fundamental solutions for operators of the form sum_{i=1}^m X_i^2, where X_1,ldots, X_m are H"ormander vector fields of step 2 having non-smooth coefficients. We also provide estimates of the fundamental solution and of its derivatives. |
Data prodotto definitivo in UGOV: | 2014-11-28 |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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