Non-Elliptic Partial Differential Equations : Analytic Hypoellipticity and the Courage to Localize High Powers of T

Tartakoff, David S.

ISBN 10: 1441998128 / ISBN 13: 9781441998125

Edité par Springer, 2011

A propos de cet article

N° de réf. du vendeur 12535730-n

Détails bibliographiques

• Titre: Non-Elliptic Partial Differential Equations : Analytic Hypoellipticity and the Courage to Localize High Powers of T
• Éditeur: Springer
• Date de parution: 2011
• Langue: anglais
• ISBN à 10 chiffres: 1441998128
• ISBN à 13 chiffres: 9781441998125
• Reliure: Couverture rigide
• État de l'article: New

A propos de ce titre

Synopsis

This book provides a very readable description of a technique, developed by the author years ago but as current as ever, for proving that solutions to certain (non-elliptic) partial differential equations only have real analytic solutions when the data are real analytic (locally). The technique is completely elementary but relies on a construction, a kind of a non-commutative power series, to localize the analysis of high powers of derivatives in the so-called bad direction. It is hoped that this work will permit a far greater audience of researchers to come to a deep understanding of this technique and its power and flexibility.

Présentation de l'éditeur

This book provides a readable description of a technique, developed years ago but still current, for proving that solutions to certain (non-elliptic) partial differential equations only have real analytic solutions when the data are real analytic (locally).