Cauchy Problem for Differential Operators with Double Characteristics Non-Effectively Hyperbolic Characteristics /

• Main Author: Nishitani, Tatsuo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Lecture Notes in Mathematics, 2202
• Subjects: Mathematics.; Differential equations.; Partial differential equations.; Partial Differential Equations.; Ordinary Differential Equations.

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 pre...

Table of Contents:

• 1. Introduction
• 2 Non-effectively hyperbolic characteristics.- 3 Geometry of bicharacteristics.- 4 Microlocal energy estimates and well-posedness.- 5 Cauchy problem−no tangent bicharacteristics. - 6 Tangent bicharacteristics and ill-posedness.- 7 Cauchy problem in the Gevrey classes.- 8 Ill-posed Cauchy problem, revisited
• References.