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Journal of the London Mathematical Society 2003 68(2):431-443; doi:10.1112/S0024610703004526
© 2003 by London Mathematical Society
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© The London Mathematical Society

Heat Content Asymptotics with Transmittal and Transmission Boundary Conditions

P. B. Gilkey and K. Kirsten

Department of Mathematics, University of Oregon Eugene, OR 97403, USA, gilkey{at}darkwing.uoregon.edu
Max Planck Institute for Mathematics in the Sciences Inselstrasse 22–26, 04103 Leipzig, Germany
Max Planck Institute for Mathematics in the Sciences Inselstrasse 22–26, 04103 Leipzig, Germany klaus.kirsten{at}mis.mpg.de
Department of Mathematics, Baylor University Waco, TX 76798, USA, klaus.kirsten{at}baylor.edu

Received 18 November 2002.

The heat content asymptotics on a Riemannian manifold with smoooth boundary defined by Dirichlet, Neumann, transmittal and transmission boundary conditions are studied.


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