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Nonelliptic Partial Differential Equations: Analytic Hypoellipticity and the Courage to Localize High Powers of T (Developments in Mathematics)
David S. Tartakoff
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Description for Nonelliptic Partial Differential Equations: Analytic Hypoellipticity and the Courage to Localize High Powers of T (Developments in Mathematics)
Hardcover. 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). Series: Developments in Mathematics. Num Pages: 203 pages, biography. BIC Classification: PBKB; PBKJ. Category: (P) Professional & Vocational. Dimension: 241 x 163 x 17. Weight in Grams: 474. Series: Developments in Mathematics. 211 pages, black & white illustrations. 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). Cateogry: (P) Professional & Vocational. BIC Classification: PBKB; PBKJ. Dimension: 241 x 163 x 17. Weight: 474.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2011
Publisher
Springer
Number of pages
288
Condition
New
Series
Developments in Mathematics
Number of Pages
203
Place of Publication
New York, NY, United States
ISBN
9781441998125
SKU
V9781441998125
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Nonelliptic Partial Differential Equations: Analytic Hypoellipticity and the Courage to Localize High Powers of T (Developments in Mathematics)
From the reviews: “The present book deals with the analytic and Gevrey local hypoellipticity of certain nonelliptic partial differential operators. … this nice book is mostly addressed to Ph.D. students and researchers in harmonic analysis and partial differential equations, the reader being supposed to be familiar with the basic facts of pseudodifferential calculus and several complex variables. It represents ... Read more