Combining geometrical and microlocal tools, this monograph gives detailed proofs of many well/ill-posed results related to the Cauchy problem for di?erential operators with non-e?ectively hyperbolic double characteristics. Previously scattered over numerous di?erent publications, the results are presented from the viewpoint that the Hamilton map and the geometry of bicharacteristics completely characterizes the well/ill-posedness of the Cauchy problem.
| ISBN: | 9783319676111 |
| Publication date: | 26th November 2017 |
| Author: | Tatsuo Nishitani |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Paperback |
| Pagination: | 213 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Differential calculus and equations |
Combining geometrical and microlocal tools, this monograph gives detailed proofs of many well/ill-posed results related to the Cauchy problem for di?erential operators with non-e?ectively hyperbolic double characteristics. Previously scattered over numerous di?erent publications, the results are presented from the viewpoint that the Hamilton map and the geometry of bicharacteristics completely characterizes the well/ill-posedness of the Cauchy problem.A doubly characteristic point of a di?erential operator P of order m (i.e. one where Pm = dPm = 0) is e?ectively hyperbolic if the Hamilton map FPm has real non-zero eigen values.
Cauchy Problem for Differential Operators With Double Characteristics features in the following genres: Differential calculus and equations
Paperback. Not Available.
Cauchy Problem for Differential Operators With Double Characteristics was written by Tatsuo Nishitani and published by Springer an imprint of Springer International Publishing
Cauchy Problem for Differential Operators With Double Characteristics has 213 pages
Yes it is part of Lecture Notes in Mathematics series