Asymptotically almost periodic solutions for some partial differential inclusions in \(\alpha\)-norm. (English) Zbl 07924877
Summary: In this paper, we focus on investigating the existence of mild solutions and asymptotically almost periodic mild solutions for a class of partial differential inclusions. These inclusions involve a forcing multivalued function that relies on implicit spatial derivatives of the state variable. We introduce a novel approach to simplify the complexities associated with singularities when taking the \(\alpha\)-norm.
MSC:
| 34K09 | Functional-differential inclusions |
| 47D06 | One-parameter semigroups and linear evolution equations |
Keywords:
differential inclusion; mild solution; asymptotically almost periodic solution; analytic semigroupReferences:
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