Carleman estimates for the laplace-beltrami equation on complex manifolds
نویسندگان
چکیده
منابع مشابه
The Laplace-Beltrami-Operator on Riemannian Manifolds
This report mainly illustrates a way to compute the Laplace-Beltrami-Operator on a Riemannian Manifold and gives information to why and where it is used in the Analysis of 3D Shapes. After a brief introduction, an overview over the necessary properties of manifolds for calculating the Laplacian is given. Furthermore the two operators needed for defining the Laplace-Beltrami-Operator the gradien...
متن کاملON Lp RESOLVENT ESTIMATES FOR LAPLACE-BELTRAMI OPERATORS ON COMPACT MANIFOLDS
In this article we prove L estimates for resolvents of Laplace-Beltrami operators on compact Riemannian manifolds, generalizing results of [12] in the Euclidean case and [17] for the torus. We follow [18] and construct Hadamard’s parametrix, then use classical boundedness results on integral operators with oscillatory kernels related to the Carleson and Sjölin condition. Our initial motivation ...
متن کاملMonotonicity Theorems for Laplace Beltrami Operator on Riemannian Manifolds
Abstract. For free boundary problems on Euclidean spaces, the monotonicity formulas of Alt-Caffarelli-Friedman and Caffarelli-Jerison-Kenig are cornerstones for the regularity theory as well as the existence theory. In this article we establish the analogs of these results for the LaplaceBeltrami operator on Riemannian manifolds. As an application we show that our monotonicity theorems can be e...
متن کاملEigenvalues Estimates for the p-Laplace Operator on Manifolds
The Laplace-Beltrami operator on a Riemannian manifold, its spectral theory and the relations between its first eigenvalue and the geometrical data of the manifold, such as curvatures, diameter, injectivity radius, volume, has been extensively studied in the recent mathematical literature. In the last few years, another operator, called p-Laplacian, arising from problems on Non-Newtonian Fluids...
متن کاملUniform Estimates of the Resolvent of the Laplace–Beltrami Operator on Infinite Volume Riemannian Manifolds with Cusps.II
We prove uniform weighted high frequency estimates for the resolvent of the Laplace-Beltrami operator on connected infinite volume Riemannian manifolds under some natural assumptions on the metric on the ends of the manifold. This extends previous results by Burq [3] and Vodev [8].
متن کاملذخیره 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: Publications mathématiques de l'IHÉS
سال: 1965
ISSN: 0073-8301,1618-1913
DOI: 10.1007/bf02684398