Heat asymptotics with spectral boundary conditions. II
نویسندگان
چکیده
منابع مشابه
Heat Content Asymptotics for Operators of Laplace Type with Spectral Boundary Conditions
Let P be an operator of Dirac type and let D = P 2 be the associated operator of Laplace type. We impose spectral boundary conditions and study the leading heat content coefficients for D.
متن کاملHeat 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 کاملHeat Content Asymptotics with Transmittal and Transmission Boundary Conditions
We study the heat content asymptotics on a Riemannian manifold with smoooth boundary defined by Dirichlet, Neumann, transmittal and transmission boundary conditions. Subject Classification: 58J50
متن کاملHeat Trace Asymptotics Defined by Transfer Boundary Conditions
We compute the first 5 terms in the short-time heat trace asymptotics expansion for an operator of Laplace type with transfer boundary conditions using the functorial properties of these invariants.
متن کاملAsymptotics of the heat equation with ‘exotic’ boundary conditions or with time dependent coefficients
The heat trace asymptotics are discussed for operators of Laplace type with Dirichlet, Robin, spectral, D/N, and transmittal boundary conditions. The heat content asymptotics are discussed for operators with time dependent coefficients and Dirichlet or Robin boundary conditions.
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: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 2003
ISSN: 0308-2105,1473-7124
DOI: 10.1017/s0308210500002420