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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Solvability of the Stochastic Degasperis-Procesi Equation

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Arruda, Lynnyngs K. [1] ; Chemetov, Nikolai V. [2] ; Cipriano, Fernanda [3, 4]
Total Authors: 3
[1] Univ Fed Sao Carlos, Dept Matemat, CP 676, BR-13565905 Sao Carlos, SP - Brazil
[2] Univ Sao Paulo, Dept Comp & Math, BR-14040901 Ribeirao Preto, SP - Brazil
[3] Univ Nova Lisboa, Fac Ciencias & Tecnol, Dept Matemat, Lisbon - Portugal
[4] Ctr Matemat & Aplicacoes, Lisbon - Portugal
Total Affiliations: 4
Document type: Journal article
Source: Journal of Dynamics and Differential Equations; JUN 2021.
Web of Science Citations: 0

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 type: Regular Research Grants