Asymptotics of the heat equation with `exotic' boundary conditions or with time dependent coefficients

Abstract

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.

A talk of P.B. Gilkey at "Quantum Gravity and Spectral Geometry", Naples, July 2001, to appear in the proceedings v2: a misprint in eq. (3) corrected

References in corpus (1)

• Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario

Cited by in corpus (3)

• Heat kernel asymptotics: more special case calculations
• A General Asymptotic Implied Volatility for Stochastic Volatility Models
• Heat content asymptotics for spectral boundary conditions