4 papers · 1 filter
Hölder damping for fractional wave equations
Jian Wang, Ruoyu P. T. Wang
For fractional wave equations with low Hölder regularity damping, we establish quantitative energy decay rates for their solutions when the geometric control condition holds. The e…
Nonembeddable contractible open manifolds arising from Whitehead doubling
Shijie Gu, Jian Wang, Yanqing Zou
We study a family of genus-one contractible open manifolds constructed by iterated Whitehead doubling from a nontrivial knot and an even half-twist . For each such pair, we…
Mass Lower Bounds for Asymptotically Locally Flat Manifolds
Marcus Khuri, Jian Wang
We establish positive mass type theorems for asymptotically locally flat (ALF) manifolds, which have asymptotic ends modeled on circle bundles over a Euclidean base with fibers of…
Totally acyclic complexes and homological invariants over arbitrary rings
Jian Wang, Yunxia Li, Jiangsheng Hu +1
In this paper, we investigate equivalent characterizations of the condition that every acyclic complex of projective, injective, or flat modules is totally acyclic over a general r…