On nonlinear distributional and impulsive Cauchy problems
✍ Scribed by S. Heikkilä
- Book ID
- 113811505
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 330 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Communicated by C. Bardos Abstract--ln this paper we give a simple representation of the solution of the Cauchy problem when the operator admits a spectral distribution. First we apply this to the Schr5dinger operator on R/v with and without potential, and then on a bounded domain. In this case
We consider the Cauchy problem for the semilinear wave equation. The Cauchy data are assumed to be conormal with respect to a point, and the source term is polynomial with respect to the solution and its first derivatives. Thanks to the study of multiplicative properties of some refined hyperbolic c