Abstract
Some relevant “macroscopic” features of bodies with complicated “microscopic” structure are usually described, in the mathematical theory of composite media and homogenization, in terms of asymptotic properties of sequences of Dirichlet integrals
\( {\partial_i} = {{{\partial u}} \left/ {{\partial xi,{\partial_j} }} \right.} = {{{\partial u}} \left/ {{\partial xj}} \right.} \), by appropriately defining the “conductivity” coefficients \( a_h^{{ij}}(x) \) on some open subset Ω of ℝN.
Keywords
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, log in via an 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
J.R. Baxter, G. Dal Maso, U. Mosco, Stopping times and Γ-convergerne, Trans. AMS 303 (1987), 1–38.
M. Biroli, U. Mosco, Wiener criterion and potential estimates for obstacle problems relative to degenerate elliptic operators, Universität Bonn SFB 256 Preprint Series N.69 (1989), to appear in Ann. Mat. Pura Appl. (4).
R. Gulliver, G. Dal Maso, U. Mosco, Asymptotic spectrum of manifolds of increasing topological type, Universität Bonn SFB 256 Preprint Series, to appear.
G. Dal Maso, U. Mosco, Wiener’s criterion and Γ-convergence, J. Appl. Math. and Opt 15 (1987), 15–63.
U. Mosco, Composite media and asymptotic Dirichlet forms, to appear.
U. Mosco, Compact families of Dirichlet forms, to appear.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Birkhäuser Boston
About this chapter
Cite this chapter
Mosco, U. (1991). Composite media and Dirichlet forms. In: Dal Maso, G., Dell’Antonio, G.F. (eds) Composite Media and Homogenization Theory. Progress in Nonlinear Differential Equations and Their Applications, vol 5. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-6787-1_14
Download citation
DOI: https://doi.org/10.1007/978-1-4684-6787-1_14
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4684-6789-5
Online ISBN: 978-1-4684-6787-1
eBook Packages: Springer Book Archive