Elliptic equations with diffusion parameterized by the range of nonlocal interactions
β Scribed by Armel Andami Ovono; Arnaud Rougirel
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 361 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0373-3114
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π SIMILAR VOLUMES
This paper deals with the equation Here, u is a complex-valued function of (t, x) # R\_R n , n 2, and \* is a real number. If u 0 is small in L 2, s with s>(nΓ2)+2, then the solution u(t) behaves asymptotically as uniformly in R n as t Γ . Here , is a suitable function called the modified scatteri
## Abstract It is wellβestablished that renormalized solutions of the Boltzmann equation enjoy some kind of regularity, or at least compactness, in the velocity variable when the angular collision kernel is nonintegrable. However, obtaining explicit estimates in convenient and natural functional se