Speaker：Lifan Guan（Westlake University）

Time：2022-06-08, 09:00

Location：Tencent Meeting ID：829 736 304（No Password）

Abstract:

In the scale of infinite-dimensionality, we consider, in this talk, a nonlinear delay evolution equation involving multivalued nonlinearity and possibly unbounded operator in the principal part. A noncompact interval is considered. One considering the Cauchy problem, a basic question about whether there exists solution set carrying Aronszajn-type regularity remains unsolved when the evolution family (or nonlinear semigroup) generated by the operator lacks the compactness. One of our main attentions is paid to settling this question in the affirmative and providing a feasible roadmap for how such a result could be obtained.