Weighted function spaces with anisotropic weight distribution
Copyright policy )Weighted function spaces with anisotropic weight distribution
\textit{V. A. Kondrat'ev} and \textit{O. A. Oleinik} [Usp. Mat. Nauk. 38, No. 2(230), 3--76 (1983; Zbl 0523.35010)], studied various elliptic boundary problems in domains having conical, or corner points. They used some function spaces, with weighted norm, in which the weight is distributed anisotropically. These spaces were introduced by the first author [Sib. Mat. Zh. 22, No. 4, 142--163 (1981; Zbl 0479.35032)] and by \textit{L. A. Bagirov} and \textit{V. A. Kondrat'ev} [Partial differential equations. Tr. Semin. S. L. Sobolev 1978, No. 2, 5--16 (1978; Zbl 0423.35080)]. Here, the authors get some new spaces of functions, with weighted anisotropic norm, which arise in the investigation on the plane with semiinfinite slit, of the Dirichlet problem for the operator \(\Delta^ 2-\partial \Delta /\partial x_ 1\). The authors prove that the spaces introduced differ from the previous ones.
weighted norm, Regularity of generalized solutions of PDE, PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables), Spaces of vector- and operator-valued functions, Boundary value problems for higher-order elliptic equations, conical points, corner points, function spaces, Dirichlet problem
weighted norm, Regularity of generalized solutions of PDE, PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables), Spaces of vector- and operator-valued functions, Boundary value problems for higher-order elliptic equations, conical points, corner points, function spaces, Dirichlet problem
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!