Zobrazeno 1 - 10
of 230
pro vyhledávání: '"58G11"'
Autor:
ter Elst, A. F. M., Ouhabaz, E. M.
We consider the Dirichlet-to-Neumann operator ${\cal N}$ associated with a general elliptic operator \[ {\cal A} u = - \sum_{k,l=1}^d \partial_k (c_{kl}\, \partial_l u) + \sum_{k=1}^d \Big( c_k\, \partial_k u - \partial_k (b_k\, u) \Big) +c_0\, u \in
Externí odkaz:
http://arxiv.org/abs/2404.18272
Let $F$ be a transversely oriented foliation of codimension 1 on a closed manifold $M$, and let $\phi=\{\phi^t\}$ be a foliated flow on $(M,F)$. Assume the closed orbits of $\phi$ are simple and its preserved leaves are transversely simple. In this c
Externí odkaz:
http://arxiv.org/abs/2402.06671
Publikováno v:
Advanced Nonlinear Studies, Vol 24, Iss 1, Pp 141-154 (2024)
We consider a general class of non-homogeneous contracting flows of convex hypersurfaces in Rn+1 ${\mathbb{R}}^{n+1}$ , and prove the existence and regularity of the flow before extincting to a point in finite time.
Externí odkaz:
https://doaj.org/article/9c4a80962bbb447d8ff7b28979d1b25b
Autor:
Chen, Min, Huang, Jiuzhou
In this paper, we prove that convex hypersurfaces under the flow by powers $\alpha>0$ of the Gauss curvature in space forms $\mathbb{N}^{n+1}(\kappa)$ of constant sectional curvature $\kappa$ $(\kappa=\pm 1)$ contract to a point in finite time $T^*$.
Externí odkaz:
http://arxiv.org/abs/2111.01951
Let $M$ be a stratum of a compact stratified space $A$. It is equipped with a general adapted metric $g$, which is slightly more general than the adapted metrics of Nagase and Brasselet-Hector-Saralegi. In particular, $g$ has a general type, which is
Externí odkaz:
http://arxiv.org/abs/1507.07589
Autor:
ter Elst, A. F. M., Ouhabaz, E. M.
We prove Poisson upper bounds for the kernel $K$ of the semigroup generated by the Dirichlet-to-Neumann operator if the underlying domain is bounded and has a $C^\infty$-boundary. We also prove Poisson bounds for $K_z$ for all $z$ in the right half-p
Externí odkaz:
http://arxiv.org/abs/1302.4199
Autor:
He, Yue
The aim of this paper is give a simple proof of some results in \cite{Jun Ling-2006-IJM} and \cite{JunLing-2007-AGAG}, which are very deep studies in the sharp lower bound of the first eigenvalue in the Laplacian operator on compact Riemannian manifo
Externí odkaz:
http://arxiv.org/abs/1210.5685
The main result is a version of Morse inequalities for the minimum and maximum ideal boundary conditions of the de Rham complex on strata of compact Thom-Mather stratifications, endowed with adapted metrics. An adaptation of the analytic method of Wi
Externí odkaz:
http://arxiv.org/abs/1205.0348
Based on ideas of Pigolla and Setti \cite{PS} we prove that immersed submanifolds with bounded mean curvature of Cartan-Hadamard manifolds are Feller. We also consider Riemannian submersions $\pi \colon M \to N$ with compact minimal fibers, and based
Externí odkaz:
http://arxiv.org/abs/1109.3380
Autor:
Li, Junfang, Xu, Xiangjin
In the first part of this paper, we get new Li-Yau type gradient estimates for positive solutions of heat equation on Riemmannian manifolds with $Ricci(M)\ge -k$, $k\in \mathbb R$. As applications, several parabolic Harnack inequalities are obtained
Externí odkaz:
http://arxiv.org/abs/0901.3849