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Some remarks on quasilinear wave equations with null condition in 3-D
- Source :
- Mathematical Methods in the Applied Sciences. 39:4484-4495
- Publication Year :
- 2016
- Publisher :
- Wiley, 2016.
-
Abstract
- In this paper, we give an alternative proof to the global existence result, which is originally owing to the pioneering work of Klainerman and Christodoulou, for the Cauchy problem of quasilinear wave equations with null condition in three space dimensions. The proof can display the following three features simultaneously: the Lorentz boost operator is not employed in the generalized energy estimates; the generalized energy of the solution will be always small, which was first observed by Alinhac; and the initial data are not assumed to have a compact support. Copyright © 2016 John Wiley & Sons, Ltd.
- Subjects :
- Null condition
Work (thermodynamics)
General Mathematics
Operator (physics)
Lorentz transformation
010102 general mathematics
Mathematical analysis
General Engineering
Space (mathematics)
Wave equation
01 natural sciences
010101 applied mathematics
symbols.namesake
symbols
Initial value problem
0101 mathematics
Energy (signal processing)
Mathematics
Subjects
Details
- ISSN :
- 01704214
- Volume :
- 39
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi...........1ff2faf4c8999da7f3efeb82829e138f