Solving the Dirichlet problem constructively
نویسندگان
چکیده
منابع مشابه
Solving the Dirichlet problem constructively
The Dirichlet problem is of central importance in both applied and abstract potential theory. We prove the (perhaps surprising) result that the existence of solutions in the general case is an essentially nonconstructive proposition: there is no algorithm which will actually compute solutions for arbitrary domains and boundary conditions. A corollary of our results is the non-existence of const...
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ژورنال
عنوان ژورنال: Journal of Logic and Analysis
سال: 2013
ISSN: 1759-9008
DOI: 10.4115/jla.2013.5.3