Well-posedness and the energy and charge conservation for nonlinear wave equations in discrete space-time
β Scribed by A. Comech; A. Komech
- Book ID
- 114991620
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2011
- Tongue
- English
- Weight
- 458 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1061-9208
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π SIMILAR VOLUMES
The theory of scattering is studied for the nonlinear wave equation iu+|u| r -1 u=0 in space dimensions n=3, 4. We give a new proof of the asymptotic completeness in the finite energy and conformal charge space for n=r=3. Our method is strong enough to deal with the subconformal power r < 1+4/(n -1)
## Abstract In this paper, we consider local wellβposedness and illβposedness questions for the fractal Burgers equation. First, we obtain the wellβposedness result in the critical Sobolev space. We also present an unconditional uniqueness result. Second, we show the illβposedness from the point of