Non-autonomous semilinear evolution equations with almost sectorial operators

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Author(s):	Carvalho, Alexandre N. ^[1] ; Dlotko, Tomasz ^[2] ; Nascimento, Marcelo J. D. ^[1] 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 - Poland
Grantee:	Alexandre Nolasco de Carvalho
Support type:	Research Grants - Visiting Researcher Grant - International


FAPESP's process:	03/10042-0 - Nonlinear dynamical systems and applications
Grantee:	Alexandre Nolasco de Carvalho
Support type:	PRONEX Research - Thematic Grants