Layer potentials on boundaries with corners and edges

Thomas S. Angell; Ralph Ellis Kleinman; Josef Král

Double layer potentials on boundaries with corners and edges

Thomas S. Angell, Ralph Ellis Kleinman, Josef Král (1986)

Commentationes Mathematicae Universitatis Carolinae

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Some examples concerning applicability of the Fredholm-Radon method in potential theory

Josef Král, Wolfgang L. Wendland (1986)

Aplikace matematiky

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Simple examples of bounded domains $D \subset 𝐑^{3}$ are considered for which the presence of peculiar corners and edges in the boundary $δ D$ causes that the double layer potential operator acting on the space $𝒮 (δ D)$ of all continuous functions on $δ D$ can for no value of the parameter $α$ be approximated (in the sub-norm) by means of operators of the form $α I + T$ (where $I$ is the identity operator and $T$ is a compact linear operator) with a deviation less then $| α |$ ; on the other hand, such approximability turns out to be...

A theorem on continuous dependence on a parameter

Karel Karták (1966)

Časopis pro pěstování matematiky

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Displaying similar documents to “Layer potentials on boundaries with corners and edges”

Double layer potentials on boundaries with corners and edges

Some examples concerning applicability of the Fredholm-Radon method in potential theory

A theorem on continuous dependence on a parameter