TY  - BOOK
AU  - Nishitani,Tatsuo
TI  - Cauchy problem for differential operators with double characteristics :  : non-effectively hyperbolic characteristics 
T2  - Lecture notes in mathematics
SN  - 9783319676111 (alk. paper)
U1  - 515.35 23
PY  - 2017///
CY  - Cham
PB  - Springer
KW  - Differential equations
KW  - Partial differential equations
N1  - Include index and bibliographical references and index; 1. Introduction.- 
2 Non-effectively hyperbolic characteristics.- 
3 Geometry of bicharacteristics.- 
4 Microlocal energy estimates and well-posedness.- 
5 Cauchy problemâ no tangent bicharacteristics. - 
6 Tangent bicharacteristics and ill-posedness.- 
7 Cauchy problem in the Gevrey classes.- 
8 Ill-posed Cauchy problem, revisited.- 
References
N2  - Combining geometrical and microlocal tools, this monograph gives detailed proofs of many well/ill-posed results related to the Cauchy problem for differential operators with non-effectively hyperbolic double characteristics. Previously scattered over numerous different 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
ER  -