The probability approach to numerical solution of nonlinear parabolic equations
✍ Scribed by G. N. Milstein
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 217 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0749-159X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We consider the Cauchy problems for some nonlinear degenerate parabolic equations in ޒ N for nonzero bounded nonnegative initial data having compact support, and show that the set of peaks of the nonnegative solution consists of one point after a finite time.
Explicit estimates for the continuous dependence in L ([0, T]; L 1 (R d )) of solutions of the equation l v={ } (8(v))+2(.(v)) (in (0, )\_R d with initial condition v(0, } )=h) with respect to the nonlinear continuously differential functions 8 and . are established.
## Abstract Theoretical aspects related to the approximation of the semilinear parabolic equation: $u\_t=\Delta u+f(u)$\nopagenumbers\end, with a finite unknown ‘blow‐up’ time __T__~b~ have been studied in a previous work. Specifically, for __ε__ a small positive number, we have considered coupled