Short-time heat diffusion in compact domains with discontinuous transmission boundary conditions

DOI10.1142/S0218202516500032zbMath1401.35303arXiv1509.02095MaRDI QIDQ2788506

Anna Rozanova-Pierrat, Claude Bardos, Denis S. Grebenkov

Publication date: 19 February 2016

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02095

zbMATH Keywords

heat contentdiscontinuous transmission conditionMinkowski sausage

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Heat kernel (35K08)

Related Items (8)

Dirichlet boundary valued problems for linear and nonlinear wave equations on arbitrary and fractal domains ⋮ An averaging principle for fast diffusions in domains separated by semi-permeable membranes ⋮ On the effective interfacial resistance through quasi-filling fractal layers ⋮ Dirichlet-to-Neumann or Poincaré-Steklov operator on fractals described by \(d\)-sets ⋮ On the existence of optimal shapes in architecture ⋮ The Complex Airy Operator on the Line with a Semipermeable Barrier ⋮ Semigroup-theoretic approach to diffusion in thin layers separated by semi-permeable membranes ⋮ Mixed boundary valued problems for linear and nonlinear wave equations in domains with fractal boundaries

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