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Fundamental solutions and local solvability for nonsmooth Hörmander's operators / Marco Bramanti, Luca Brandolini, Maria Manfredini, Marco Pedroni

Von:

Bramanti, Marco, 1963- [VerfasserIn]

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Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: Memoirs of the American Mathematical Society ; volume 249, number 1182Verlag: Providence, Rhode Island : American Mathematical Society, 2017Beschreibung: 1 Online-Ressource (v, 79 pages)Schlagwörter:

Andere physische Formen: 9781470425593 | 1470441314. | 9781470441319. | Erscheint auch als: Kein Titel Druck-Ausgabe | Print version: Fundamental solutions and local solvability for nonsmooth Hörmander's operators. Providence, Rhode Island : American Mathematical Society, [2017]MSC: MSC: *35-02 | 35A08 | 35A17 | 35H20LOC-Klassifikation:

QA377

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Zusammenfassung: The authors consider operators of the form L=\sum_{i=1}^{n}X_{i}^{2}+X_{0} in a bounded domain of \mathbb{R}^{p} where X_{0},X_{1},\ldots,X_{n} are nonsmooth Hörmander's vector fields of step r such that the highest order commutators are only Hölder continuous. Applying Levi's parametrix method the authors construct a local fundamental solution \gamma for L and provide growth estimates for \gamma and its first derivatives with respect to the vector fields. Requiring the existence of one more derivative of the coefficients the authors prove that \gamma also possesses second derivatives, and theZusammenfassung: The authors consider operators of the form L=\sum_{i=1}^{n}X_{i}^{2}+X_{0} in a bounded domain of \mathbb{R}^{p} where X_{0},X_{1},\ldots,X_{n} are nonsmooth Hörmander's vector fields of step r such that the highest order commutators are only Hölder continuous. Applying Levi's parametrix method the authors construct a local fundamental solution \gamma for L and provide growth estimates for \gamma and its first derivatives with respect to the vector fields. Requiring the existence of one more derivative of the coefficients the authors prove that \gamma also possesses second derivatives, and thePPN: PPN: 1007560789Package identifier: Produktsigel: ZDB-4-NLEBK

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