Let M be a compact manifold with smooth boundary. We establish the existence of an asymptotic expansion for the heat content asymptotics of M with inhomogeneous Neumann and Dirichlet boundary conditions. We prove all the coefficients are locally determined and determine the first several terms in the asymptotic expansion.
|Translated title of the contribution||Heat content asymptotics with imhomogenous Neumann and Dirichlet boundary conditions|
|Pages (from-to)||269 - 274|
|Number of pages||6|
|Publication status||Published - May 2001|
Bibliographical notePublisher: Springer Netherlands
van den Berg, M., & Gilkey, PB. (2001). Heat content asymptotics with imhomogenous Neumann and Dirichlet boundary conditions. Potential Analysis, 14 (3), 269 - 274. https://doi.org/10.1023/A:1011200305247