Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/41327
Title: | Existence results for evolution equations with superlinear growth |
Author: | Benedetti, Irene Rocha, Eugénio M. |
Keywords: | Semilinear differential equation Approximation solvability method Leray-Schauder continuation principle Nemytskii operator |
Issue Date: | 2019 |
Publisher: | Juliusz Schauder Center for Nonlinear Analysis |
Abstract: | 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 |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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TMNA.2019.101.pdf | 362.24 kB | Adobe PDF |
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