Resolvents in Semi-linear Harmonic Spaces |
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Authors: | van Gool Frans |
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Affiliation: | (1) Faculty of Applied Physics, Section Computational Physics, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands |
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Abstract: | We will show that the semi-linear potential kernels defined in [4] have a resolvent associated with them. Furthermore, the bounded excessive functions of this resolvent correspond to the bounded hyperharmonic functions as they do in linear potential theory. |
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Keywords: | Nonlinear potential theory resolvents semi-linear perturbations excessive functions |
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