Blowup for Nonlinear Hyperbolic Equations [electronic resource] / by Serge Alinhac
- Author:
- Alinhac, S. (Serge)
- Published:
- Boston, MA : Birkhäuser Boston, 1995.
- Physical Description:
- 113 pages : online resource
- Additional Creators:
- SpringerLink (Online service)
Access Online
- Series:
- Contents:
- I. The Two Basic Blowup Mechanisms -- A. The ODE mechanism -- B. The geometric blowup mechanism -- C. Combinations of the two mechanisms -- Notes -- II. First Concepts on Global Cauchy Problems -- 1. Short time existence -- 2. Lifespan and blowup criterion -- 3. Blowup or not? Functional methods -- 4. Blowup or not? Comparison and averaging methods -- Notes -- III. Semilinear Wave Equations -- 1. Semilinear blowup criteria -- 2. Maximal influence domain -- 3. Maximal influence domains for weak solutions -- 4. Blowup rates at the boundary of the maximal influence domain -- 5. An example of a sharp estimate of the lifespan -- Notes -- IV. Quasilinear Systems in One Space Dimension -- 1. The scalar case -- 2. Riemann invariants, simple waves, and L1-boundedness -- 3. The case of 2 × 2 systems -- 4. General systems with small data -- 5. Rotationally invariant wave equations -- Notes -- V. Nonlinear Geometrical Optics and Applications -- 1. Quasilinear systems in one space dimension -- 2. Quasilinear wave equations -- 3. Further results on the wave equation -- Notes.
- Subject(s):
- ISBN:
- 9781461225782
- Digital File Characteristics:
- text file PDF
- Note:
- AVAILABLE ONLINE TO AUTHORIZED PSU USERS.
- Part Of:
- Springer eBooks
View MARC record | catkey: 15202073