Integral equations for heat kernel in compound media

DOI10.1063/1.1870734zbMath1067.82050arXivhep-th/0409289OpenAlexW2102030994MaRDI QIDQ3024294

V. V. Nesterenko, I. G. Pirozhenko, Michael Bordag

Publication date: 30 June 2005

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0409289

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (4)

The number of eigenstates: counting function and heat kernel ⋮ An approach for the calculation of one-loop effective actions, vacuum energies, and spectral counting functions ⋮ Short-time heat diffusion in compact domains with discontinuous transmission boundary conditions ⋮ Potential theory, path integrals and the Laplacian of the indicator

Cites Work

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• Heat kernel expansion: user's manual
• Heat trace asymptotics defined by transfer boundary conditions
• Integral equation methods in potential theory. I
• On the superposition of a heat source and contact resistance
• Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario

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