Heat Kernel Asymptotics of Zaremba Boundary Value Problem

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

Heat content asymptotics for Riemannian manifolds with Zaremba boundary conditions

The existence of a full asymptotic expansion for the heat content asymptotics of an operator of Laplace type with classical Zaremba boundary conditions on a smooth manifold is established. The first three coefficients in this asymptotic expansion are determined in terms of geometric invariants; partial information is obtained about the fourth coefficient.

متن کامل

New Results in Heat-kernel Asymptotics on Manifolds with Boundary

A review is presented of some recent progress in spectral geometry on manifolds with boundary: local boundary-value problems where the boundary operator includes the effect of tangential derivatives; application of conformal variations and other functorial methods to the evaluation of heat-kernel coefficients; conditions for strong ellipticity of the boundary-value problem; fourth-order operato...

متن کامل

Stochastic Taylor expansions and heat kernel asymptotics

3 Stochastic Taylor expansions 5 3.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3.2 Chen series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.3 Brownian Chen series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.4 Exponential of a vector field . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.5 Li...

متن کامل

High Temperature Asymptotics in Terms of Heat Kernel Coefficients: Boundary Conditions with Spherical and Cylindrical Symmetries

The high temperature asymptotics of the Helmholtz free energy of electromagnetic field subjected to boundary conditions with spherical and cylindrical symmetries are constructed by making use of a general expansion in terms of heat kernel coefficients and the related determinant. For this, some new heat kernel coefficients and determinants had to be calculated for the boundary conditions under ...

متن کامل

Asymptotics of a Free Boundary Problem

As was shown by Kaper and Kwong Diierential and Integral Equations 3, 353{362], there exists a unique R > 0, such that the diierential equation u 00 + 2 + 1 r u 0 + u ? u q = 0; r > 0; (0 q < 1, 0) admits a classical solution u, which is positive and monotone on (0; R) and which satisses the boundary conditions u 0 (0) = 0; u(R) = u 0 (R) = 0: In this article it is shown that u(0) is bounded, b...

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: Mathematical Physics, Analysis and Geometry

سال: 2004

ISSN: 1385-0172

DOI: 10.1023/b:mpag.0000022837.63824.4c