Keywords
- Diffusion Equation
- Continuum Limit
- Continuum Approximation
- Spherical Inclusion
- Sphere Center
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References for the Point Interaction Section
E. I. Khruslov and V. A. Marchenko, Boundary value problems in regions with fine-grained boundaries, Naukova Dumka, Kiev, 1974.
M. Kac, Probabilistic methods in some problems of scattering theory, Rocky Mountain J. Math. 4, 1974, 511–538.
J. Rauch and M. Taylor, Potential and scattering theory on wildly perturbed domains, J. Funct. Anal. 18, 1975, 27–59
G. Papanicolaou and S.R.S. Varadhan, Diffusion in regions with many small holes. In Stochastic Differential Systems (ed. B. Grigeliouis). Lecture Notes in Control and Information Theory 25, 190–206, Springer.
S. Ozawa, On an elaboration of M. Kac's Theorem concerning eigenvalues of the Laplacian in a region with randomly distributed small obstacles, Comm. Math. Phys. 91, 1983, 473–487.
R. Figari, E. Orlandi and J. Teta, The Laplacian in regions with many small obstacles: fluctuations around the limit operator 41, 1985, 465–488.
L. L. Foldy, The multiple scattering of waves, Phys. Rev. 67, 1945, 107–119.
R. Caflisch, M. Miksis, G. Papanicolaou and L. Ting, Effective equations for wave propagation in bubbly liquids, J. Fluid Mech. 153, 1985, 259–273 and also 160, 1–14.
J. Rubinstein, NYU Dissertation, 1985.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Diaconis, P., Elworthy, D., Föllmer, H., Nelson, E., Papanicolaou, G., Varadhan, S.R.S. (1988). Remarks on the point interaction approximation. In: Hennequin, PL. (eds) École d'Été de Probabilités de Saint-Flour XV–XVII, 1985–87. Lecture Notes in Mathematics, vol 1362. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086182
Download citation
DOI: https://doi.org/10.1007/BFb0086182
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50549-5
Online ISBN: 978-3-540-46042-8
eBook Packages: Springer Book Archive
