Abstract differential equations and $L^{q,\al} $-Hölder functions

2023 · doi:10.21203/rs.3.rs-3553300/v1
preprint OA: closed CC-BY-4.0
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Abstract

We introduce the class of L q , a -Hölder functions and study the local and global existence and uniqueness of solution for abstract evolution differential equations assuming that the non-linear term is a L q , a -Hölder function. In the last section, some examples with applications to partial differential equations are presented. 2010 MSC: 34G10, 34G20, 47D06.

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License: CC-BY-4.0