Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/41327
Título: | Existence results for evolution equations with superlinear growth |
Autor: | Benedetti, Irene Rocha, Eugénio M. |
Palavras-chave: | Semilinear differential equation Approximation solvability method Leray-Schauder continuation principle Nemytskii operator |
Data: | 2019 |
Editora: | Juliusz Schauder Center for Nonlinear Analysis |
Resumo: | By combining an approximation technique with the Leray-Schauder continuation principle, we prove global existence results for semilinear differential equations involving a dissipative linear operator, generating an extendable compact $C_0$-semigroup of contractions, and a Caratheodory nonlinearity $f\colon [0,T] \times E \to F$, with $E$ and $F$ two real Banach spaces such that $E \subseteq F$, besides imposing other conditions. The case $E\neq F$ allows to treat, as an application, parabolic equations with continuous superlinear nonlinearities which satisfy a sign condition. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/41327 |
DOI: | 10.12775/TMNA.2019.101 |
ISSN: | 1230-3429 |
Aparece nas coleções: | CIDMA - Artigos FAAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
TMNA.2019.101.pdf | 362.24 kB | Adobe PDF |
Todos os registos no repositório estão protegidos por leis de copyright, com todos os direitos reservados.