Besov spaces on fractals
Per Bylund
Broschiertes Buch

Besov spaces on fractals

Trace theorems and measures on arbitrary closed subsets of n-space

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A physical state in a domain is often described by a model containing a linear partial differential equation. As an example of this, consider the steady state temperature distribution in a homogenous isotropic body. The problem, called Dirichlet's problem, is to find a function u, given that u=f in the interior of the body and u=g on the surface (where u denotes the laplacian of u). The solution depends on f and g, but also on the geometry of the surface S. If the given functions f and g, as well as the subset S of 3-space, are smooth enough, then there exists a unique solution. However, since...