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- W2410928900 abstract "The paper deals with jump generators with a convolution kernel. Assuming that the kernel decays either exponentially or polynomially we prove a number of lower and upper bounds for the resolvent of such operators. We consider two applications of these results. First we obtain pointwise estimates for principal eigenfunction of jump generators perturbed by a compactly supported potential (so-called nonlocal Schrodinger operators). Then we consider the Cauchy problem for the corresponding inhomogeneous evolution equations and study the behaviour of its solutions." @default.
- W2410928900 created "2016-06-24" @default.
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- W2410928900 date "2016-06-10" @default.
- W2410928900 modified "2023-09-27" @default.
- W2410928900 title "Resolvent bounds for jump generators and ground state asymptotics for nonlocal Schr{o}dinger operators" @default.
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- W2410928900 doi "https://doi.org/10.48550/arxiv.1606.03381" @default.
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