Dirichlet Forms and Symmetric Markov Processes (De Gruyter Studies in Mathematics)
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View all copies of this ISBN edition:. Synopsis About this title Since the publication of the first edition in , this book has attracted constant interests from readers and is by now regarded as a standard reference for the theory of Dirichlet forms. Buy New Learn more about this copy. About AbeBooks. Customers who bought this item also bought. Published by Walter de Gruyter Seller Rating:.
This allows mathematicians to study the Laplace equation and heat equation on spaces that are not manifolds : for example, fractals. To accomplish this generalization, one focuses not on the Laplacian itself but on the quantity. Technically, a Dirichlet form is a Markovian closed symmetric form on an L 2 -space. Another example of a Dirichlet form is given by. Thus Dirichlet forms are natural generalizations of the Dirichlet integrals.
The Euler-Lagrange equation of a Dirichlet form is a non-local analogue of an elliptic equations in divergence form.