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Integral Operators in Potential Theory

✍ Scribed by Josef Kral

Book ID
127420750
Publisher
Springer
Year
1980
Tongue
English
Weight
1 MB
Series
Lecture Notes in Mathematics 0823
Edition
1
Category
Library
ISBN
3540102272

No coin nor oath required. For personal study only.

✦ Synopsis

We shall be concerned with relations of analytic properties of classical potential theoretic operators to the geometry of the corresponding domain in the Euclidean m-space,m >= 2 .

πŸ“œ SIMILAR VOLUMES

On the spectra of some integral operator
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✍ Oleg F. Gerus; Vladimir N. Kutrunov; Michael Shapiro πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 124 KB πŸ‘ 1 views

## Communicated by W. Sprâßig We study point spectra of the two integral operators that are generated by the boundary values of the simple-layer potential and of the integral tightly related to the double-layer potential; the operators act on the Hâlder space H l (C), l ∈ (0, 1), and on the Lebesg

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On nested fractals a "Laplacian" can be constructed as a scaled limit of difference operators. The appropriate scaling and starting configuration are given by a nonlinear, finite dimensional eigenvalue problem. We study it as a fixed point problem using Hilbert's projective metric on cones, a nonlin