| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil
[2] Silesian Univ, Inst Math, PL-40007 Katowice - Poland
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | JOURNAL OF EVOLUTION EQUATIONS; v. 8, n. 4, p. 631-659, 2008. |
| Web of Science Citations: | 9 |
| Abstract | |
Inspired by the theory of semigroups of growth a, we construct an evolution process of growth alpha. The abstract theory is applied to study semilinear singular non-autonomous parabolic problems. We prove that. under natural assumptions. a reasonable concept of solution can be given to Such semilinear singularly non-autonomous problems. Applications are considered to non-autonomous parabolic problems in space of Holder continuous functions and to a parabolic problem in a domain Omega subset of R(n) with a one dimensional handle. (AU) | |
| FAPESP's process: | 07/51373-0 - Tomasz Wladyslaw Dlotko | Silesian University - Polônia |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 03/10042-0 - Nonlinear dynamical systems and applications |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | PRONEX Research - Thematic Grants |