Hyperfunctions and (analytic) hypoellipticity
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2009
|
| Resumo |
In this work we discuss the problem of smooth and analytic regularity for hyperfunction solutions to linear partial differential equations with analytic coefficients. In particular we show that some well known ""sum of squares"" operators, which satisfy Hormander`s condition and consequently are hypoelliptic, admit hyperfunction solutions that are not smooth (in particular they are not distributions). NSF[INT 0227100] NSF Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq Fapesp Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) |
| Identificador |
MATHEMATISCHE ANNALEN, v.344, n.2, p.329-339, 2009 0025-5831 http://producao.usp.br/handle/BDPI/30562 10.1007/s00208-008-0308-2 |
| Idioma(s) |
eng |
| Publicador |
SPRINGER |
| Relação |
Mathematische Annalen |
| Direitos |
closedAccess Copyright SPRINGER |
| Palavras-Chave | #PARTIAL-DIFFERENTIAL-EQUATIONS #VECTOR-FIELDS #OPERATORS #SQUARES #SUMS #Mathematics |
| Tipo |
article original article publishedVersion |
