Assymptotic behaviour of solutions to the Cauchy problem for systems of evolution ...
Fractional powers of matrix linear operators and fractional approximations of semi...
Dynamics of autonomous and nonautonomous semilinear problems
| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Paris 09, PSL Res Univ, CNRS, CEREMADE, UMR 7534, Pl Marechal De Lattre De Tassigny, F-75016 Paris - France
[2] Univ Estadual Campinas, Dept Matemat, IMECC, Campinas - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA; v. 45, p. 305-312, 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We study the L-p-solutions for the semilinear heat equation with unbounded coefficients and driven by a infinite dimensional fractional Brownian motion with self-similarity parameter H > 1/2. Existence and uniqueness of local mild solutions are shown. (AU) | |
| FAPESP's process: | 15/07278-0 - Stochastic dynamics: analytical and geometrical aspects with applications |
| Grantee: | Paulo Regis Caron Ruffino |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 17/17670-0 - Stochastic Partial Differential Equations and Particle Systems |
| Grantee: | Christian Horacio Olivera |
| Support Opportunities: | Regular Research Grants |