𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A concrete estimate for the weak Poincaré inequality on loop space

✍ Scribed by Xin Chen; Xue-Mei Li; Bo Wu

Publisher
Springer
Year
2010
Tongue
English
Weight
348 KB
Volume
151
Category
Article
ISSN
1432-2064

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Poincaré Inequality for Weighted First O
Poincaré Inequality for Weighted First Order Sobolev Spaces on Loop Spaces
✍ Fuzhou Gong; Michael Röckner; Wu Liming 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 268 KB

Taking lim sup L Ä lim k Ä in both sides of (2.10), by (i), (2.8), (2.9), and the fact that lim k Ä \* k =1 we get a contradiction. Hence, , is not identically zero.

The Log-Sobolev Inequality on Loop Space
The Log-Sobolev Inequality on Loop Space over a Compact Riemannian Manifold
✍ Fu-Zhou Gong; Zhi-Ming Ma 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 371 KB

We obtain a log-Sobolev inequality with a neat and explicit potential for the gradient on a based loop space over a compact Riemannian manifold. The potential term relies only on the curvature of the manifold and the Hessian of the heat kernel, and is L p -integrable for all p 1. The log-Sobolev ine

On a resolvent estimate of the Stokes sy
On a resolvent estimate of the Stokes system in a half space arising from a free boundary problem for the Navier–Stokes equations
✍ Y. Shibata; S. Shimizu 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 228 KB 👁 1 views

## Abstract In this paper we consider a resolvent problem of the Stokes operator with some boundary condition in the half space, which is obtained as a model problem arising in evolution free boundary problems for viscous, incompressible fluid flow. We show standard resolvent estimates in the __L~q