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Nonelliptic Partial Differential Equations - Analytic Hypoellipticity and the Courage to Localize High Powers of T (Hardcover,... Nonelliptic Partial Differential Equations - Analytic Hypoellipticity and the Courage to Localize High Powers of T (Hardcover, 2011 ed.)
David S. Tartakoff
R2,657 Discovery Miles 26 570 Ships in 18 - 22 working days

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.

Nonelliptic Partial Differential Equations - Analytic Hypoellipticity and the Courage to Localize High Powers of T (Paperback,... Nonelliptic Partial Differential Equations - Analytic Hypoellipticity and the Courage to Localize High Powers of T (Paperback, 2011 ed.)
David S. Tartakoff
R2,631 Discovery Miles 26 310 Ships in 18 - 22 working days

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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