| Full text | |
| Author(s): |
Ebert, M. R.
;
Reissig, M.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 71, p. 9-pg., 2023-06-01. |
| Abstract | |
In this paper we consider the Cauchy problem for semilinear de Sitter models in 1d with balanced mass and dissipation. The model of interest is Ott - e-2tOxx + Ot + 1O = |O|p, (O(0, x), Ot(0, x)) = (0, g(x)). 4 We study the global (in time) existence of small data solutions. In particular, we show by applying Schauder's fixed point theorem that there exists a Sobolev solution for all p > 1.(c) 2023 Published by Elsevier Ltd. (AU) | |
| FAPESP's process: | 20/08276-9 - The stationary phase method and applications to evolution partial differential equations |
| Grantee: | Marcelo Rempel Ebert |
| Support Opportunities: | Regular Research Grants |