Non-autonomous semilinear evolution equations with almost sectorial operators |
| |
Authors: | Alexandre N Carvalho Tomasz Dlotko Marcelo J D Nascimento |
| |
Institution: | 1. Departamento de Matemática, Instituto de Ciências Matemáticas e de Computa??o, Universidade de S?o Paulo-Campus de S?o Carlos, Caixa Postal 668, 13560-970, S?o Carlos, SP, Brazil 2. Institute of Mathematics, Silesian University, 40-007, Katowice, Poland
|
| |
Abstract: | Inspired by the theory of semigroups of growth α, we construct an evolution process of growth α. 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 H?lder continuous functions and to a parabolic problem in
a domain with a one dimensional handle.
Marcelo J. D. Nascimento: Research partially supported by FAPESP # 02/11855-2, Brazil. |
| |
Keywords: | Mathematics Subject Classifications (2000):" target="_blank">Mathematics Subject Classifications (2000): 35A07 37B55 35K90 |
本文献已被 SpringerLink 等数据库收录! |
|