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

Livre 17 sur 67: Developments in Mathematics

Tartakoff, David S.

 
9781441998125: Non-Elliptic Partial Differential Equations: Analytic Hypoellipticity and the Courage to Localize High Powers of T

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.

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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).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9781461429692: Nonelliptic Partial Differential Equations: Analytic Hypoellipticity and the Courage to Localize High Powers of T

Edition présentée

ISBN 10 :  1461429692 ISBN 13 :  9781461429692
Editeur : Springer, 2013
Couverture souple