{"product_id":"besov-spaces-on-fractals-von-per-bylund","title":"Besov spaces on fractals","description":"\u003cp\u003eA 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 there are numerous non-smooth structures in nature, it is clear that the study of Dirichlet''s problem in the case when f, g and S are less smooth becomes an important task. Function spaces defined on subsets of n-space originates from the study of Dirichlet''s problem in the non-smooth case of f, g and S. An important class of functions in this respect are Besov spaces, defined in n-space in the 60''s. In the 80''s Besov spaces were extended to d-sets, typically fractal sets with non-integer local dimension d. In this book we extend Besov space theory to sets with varying local dimension.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783843369633\"\u003e\u003ch3\u003eTrace theorems and measures on arbitrary closed subsets of n-space\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783843369633","offer_id":39497113862237,"sku":"9783843369633","price":59.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/5e2cf27f-f05a-4532-8b93-a9c67bcae9fa.jpg?v=1782450660","url":"https:\/\/shop.autorenwelt.de\/en\/products\/besov-spaces-on-fractals-von-per-bylund","provider":"Autorenwelt Shop","version":"1.0","type":"link"}