Scaling Limits of Solutions of the Heat Equation for Singular Non-Gaussian Data
โ Scribed by Nikolai N. Leonenko; Wojbor A. Woyczynski
- Book ID
- 110431266
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 481 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0022-4715
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We show under which conditions the solution of the heat equation with a two-parameter white Gaussian noise can be approximated by solutions of this equation with physically real Gaussian noise. ' 1. Mathematical preliminaries 1.1. The two-parameter Wiener field (Brownian sheet) The two-parameter WI
We prove that the distribution solutions of the very fast diffusion equation โu/โt = โ(u m /m), u > 0, in R n ร (0, โ), u(x, 0) = u 0 (x) in R n , where m < 0, n โฅ 2, constructed in [P. Daskalopoulos, M.A. Del Pino, On nonlinear parabolic equations of very fast diffusion, Arch. Ration. Mech. Anal. 1