Zobrazeno 1 - 10
of 192
pro vyhledávání: '"Jiang Wenshuai"'
Autor:
Huang, Yiqi, Jiang, Wenshuai
In this paper, we study the parabolic equations $\partial_t u=\partial_j\left(a^{ij}(x,t)\partial_iu\right)+b^j(x,t)\partial_ju+c(x,t)u$ in a domain of $\mathbb{R}^n$ under the condition that $a^{ij}$ are Lipschitz continuous. Consider the nodal set
Externí odkaz:
http://arxiv.org/abs/2406.05877
Autor:
Jiang, Wenshuai, Wei, Guofang
In this paper we prove that the space $\cM(n,\rv,D,\Lambda):=\{(M^n,g) \text{ closed }: ~~\Ric\ge -(n-1),~\Vol(M)\ge \rv>0, \diam(M)\le D \text{ and } \int_{M}|\Rm|^{n/2}\le \Lambda\}$ has at most $C(n,\rv,D,\Lambda)$ many diffeomorphism types. This
Externí odkaz:
http://arxiv.org/abs/2405.07390
Autor:
Huang, Yiqi, Jiang, Wenshuai
Consider the solutions $u$ to the elliptic equation $\mathcal{L}(u) = \partial_i(a^{ij}(x) \partial_j u) + b^i(x) \partial_i u + c(x) u= 0$ with $a^{ij}$ assumed only to be H\"older continuous. In this paper we prove an explicit bound for $(n-2)$-dim
Externí odkaz:
http://arxiv.org/abs/2309.08089
Publikováno v:
In Colloids and Surfaces A: Physicochemical and Engineering Aspects 5 December 2024 702 Part 1
Publikováno v:
In Energy Reports December 2024 12:2452-2461
In this paper, we study Ricci flow on compact manifolds with a continuous initial metric. It was known from Simon that the Ricci flow exists for a short time. We prove that the scalar curvature lower bound is preserved along the Ricci flow if the ini
Externí odkaz:
http://arxiv.org/abs/2110.12157
In this paper, we consider asymptotically flat Riemannnian manifolds $(M^n,g)$ with $C^0$ metric $g$ and $g$ is smooth away from a closed bounded subset $\Sigma$ and the scalar curvature $R_g\ge 0$ on $M\setminus \Sigma$. For given $n\le p\le \infty$
Externí odkaz:
http://arxiv.org/abs/2012.14041
Publikováno v:
In Microchemical Journal November 2023 194
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In this paper, we prove the Lipschitz regularity of continuous harmonic maps from an finite dimensional Alexandrov space to a compact smooth Riemannian manifold. This solves a conjecture of F. H. Lin in \cite{lin97}. The proof extends the argument of
Externí odkaz:
http://arxiv.org/abs/1907.09646