Criteria of exponential decay for eigenfunctions of some classes of integral operators |
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| Authors: | V M Kaplitsky |
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| Institution: | (1) Department of Mathematics, Karlsruhe Institute of Technology (KIT), Kaiserstrasse 89, 76133 Karlsruhe, Germany |
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| Abstract: | We study sufficient conditions for exponential decay at infinity for eigenfunctions of a class of integral equations in unbounded
domains in ℝ
n
. We consider integral operators K whose kernels have the form
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k( x,y ) = c( x,y )\frace - a| x - y || x - y |b , ( x,y ) ? W×W, k\left( {x,y} \right) = c\left( {x,y} \right)\frac{{{e^{ - \alpha \left| {x - y} \right|}}}}{{{{\left| {x - y} \right|}^\beta }}},\,\left( {x,y} \right) \in \Omega \times \Omega, |
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| Keywords: | |
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