Regular Singular Problems for Hyperbolic Systems and Their Asymptotic Integration
- Resource Type
- Authors
- Jens Wirth
- Source
- Trends in Mathematics ISBN: 9783319488103
- Subject
- Sobolev space
Singular problems
Pure mathematics
Operator (computer programming)
Mathematics::Analysis of PDEs
Cauchy distribution
Computer Science::Symbolic Computation
Lower order
Symbol (formal)
Hyperbolic systems
Mathematics
- Language
In this short note we discuss Cauchy problems for t-dependent hyperbolic systems with lower order terms becoming singular at the final time, but in such a way that a controlled loss of Sobolev regularity appears. Our aim is to describe this loss in terms of the full symbol of the operator.