| Full text | |
| Author(s): |
Arruda, Lynnyngs K.
;
Chemetov, Nikolai V.
;
Cipriano, Fernanda
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Dynamics and Differential Equations; v. 35, n. 1, p. 20-pg., 2021-06-16. |
| Abstract | |
This article studies the Stochastic Degasperis-Procesi equation on R with an additive noise. Applying the kinetic theory, and considering the initial conditions in L-2(R) boolean AND L2+delta(R), for arbitrary small delta > 0, we establish the existence of a global pathwise solution. Restricting to the particular case of zero noise, our result improves the deterministic solvability results that exist in the literature. (AU) | |
| FAPESP's process: | 17/23751-2 - Existence, stability and long-time asymptotics of solutions for an ab-family of nonlinear evolution equations |
| Grantee: | Lynnyngs Kelly Arruda Saraiva de Paiva |
| Support Opportunities: | Regular Research Grants |