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Fundamental solutions and local solvability for nonsmooth Hörmander's operators /
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 paramet...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1182. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | EBOOKCENTRAL_on1005657577 | ||
| 003 | OCoLC | ||
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| 100 | 1 | |a Bramanti, Marco, |d 1963- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJbCPMRdRJPDK6PtCJFxjC | |
| 245 | 1 | 0 | |a Fundamental solutions and local solvability for nonsmooth Hörmander's operators / |c Marco Bramanti, Luca Brandolini, Maria Manfredini, Marco Pedroni. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2017. | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (v, 79 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v number 1182 | |
| 588 | 0 | |a Print version record. | |
| 500 | |a "Volume 249, Number 1182 (third of 8 numbers), September 2017." | ||
| 504 | |a Includes bibliographical references (pages 77-79). | ||
| 505 | 0 | |a Introduction -- Some known results about nonsmooth Hörmander's vector fields -- Geometric estimates -- The parametrix method -- Further regularity of the fundamental solution and local solvability of L -- Appendix: Examples of nonsmooth Hörmander's operators satisfying assumptions A or B -- Bibliography. | |
| 520 | |a 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 the. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Differential operators. | |
| 650 | 0 | |a Nonsmooth optimization. | |
| 650 | 0 | |a Vector fields. | |
| 650 | 6 | |a Opérateurs différentiels. | |
| 650 | 6 | |a Optimisation non différentiable. | |
| 650 | 6 | |a Champs vectoriels. | |
| 650 | 7 | |a Differential operators |2 fast | |
| 650 | 7 | |a Nonsmooth optimization |2 fast | |
| 650 | 7 | |a Vector fields |2 fast | |
| 700 | 1 | |a Brandolini, Luca, |d 1963- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJpdKVrRRDx48cw8pDJkXd | |
| 700 | 1 | |a Manfredini, Maria, |d 1967- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjKBfYb7KBXM8RmFvfJx6q | |
| 700 | 1 | |a Pedroni, Marco, |d 1964- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjt9mq9fqpYWRgjgXkW6jC | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Fundamental solutions and local solvability for nonsmooth Hörmander's operators (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFpFBg34XWJwbtXBWmQJfy |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |t Fundamental solutions and local solvability for nonsmooth Hörmander's operators. |d Providence, Rhode Island : American Mathematical Society, [2017] |z 9781470425593 |w (DLC) 2017040913 |w (OCoLC)990104351 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1182. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5110282 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37445111 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5110282 | ||
| 994 | |a 92 |b IZTAP | ||