| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat, BR-13560970 Sao Paulo - Brazil
[2] Silesian Univ, Inst Math, PL-40007 Katowice - Poland
[3] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Paulo - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 59, n. 1, p. 17-55, FEB 2016. |
| Web of Science Citations: | 0 |
| Abstract | |
We study non-autonomous parabolic equations with critical exponents in a scale of Banach spaces E-sigma, sigma is an element of {[}0,1 + mu). We consider a suitable E1+epsilon-solution and describe continuation properties of the solution. This concerns both a situation when the solution can be continued as an E1+epsilon-solution and a situation when the E1+epsilon-norm of the solution blows up, in which case a piecewise E1+epsilon-solution is constructed. (AU) | |
| FAPESP's process: | 11/51704-2 - Jan Wladyslaw Cholewa | University of Silesia - Polônia |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 11/04166-5 - Continuity of attractors to parabolic problems |
| Grantee: | Marcelo José Dias Nascimento |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 08/53094-4 - Sistemas dinâmicos em espaços de dimensão infinita sob perturbações |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | Scholarships abroad - Research |