Entire mean curvature flows of graphs

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Lagrangian Mean Curvature Flow for Entire Lipschitz Graphs

We consider the mean curvature flow of entire Lagrangian graphs with Lipschitz continuous initial data. Assuming only a certain bound on the Lipschitz norm of an initial entire Lagrangian graph in R, we show that the parabolic equation (1.1) has a longtime solution which is smooth for all positive time and satisfies uniform estimates away from time t = 0. In particular, under the mean curvature...

متن کامل

Lagrangian mean curvature flow for entire Lipschitz graphs II

We prove longtime existence and estimates for smooth solutions to a fully nonlinear Lagrangian parabolic equation with locally C1,1 initial data u0 satisfying either (1) −(1+ η)In ≤ Du0 ≤ (1+ η)In for some positive dimensional constant η, (2) u0 is weakly convex everywhere, or (3) u0 verifies a large supercritical Lagrangian phase condition. Mathematics Subject Classification (2000) Primary 53C...

متن کامل

Rigidity of entire self-shrinking solutions to curvature flows

We show (a) that any entire graphic self-shrinking solution to the Lagrangian mean curvature flow in C with the Euclidean metric is flat; (b) that any space-like entire graphic self-shrinking solution to the Lagrangian mean curvature flow in C with the pseudo-Euclidean metric is flat if the Hessian of the potential is bounded below quadratically; and (c) the Hermitian counterpart of (b) for the...

متن کامل

Contour Parametrization via Anisotropic Mean Curvature Flows

We present a new implementation of anisotropic mean curvature flow for contour recognition. Our procedure couples the mean curvature flow of planar closed smooth curves, with an external field from a potential of point-wise charges. This coupling constrains the motion when the curve matches a picture placed as background. We include a stability criteria for our numerical approximation.

متن کامل

Neckpinch Singularities in Fractional Mean Curvature Flows

In this paper we consider the evolution of sets by a fractional mean curvature flow. Our main result states that for any dimension n > 2, there exists an embedded surface in R evolving by fractional mean curvature flow, which developes a singularity before it can shrink to a point. When n > 3 this result generalizes the analogue result of Grayson [18] for the classical mean curvature flow. Inte...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Pacific Journal of Mathematics

سال: 2008

ISSN: 0030-8730,0030-8730

DOI: 10.2140/pjm.2008.236.333