Differentiability of spectral functions for nonsymmetric diffusion processes
Atsushi Tanida
Source: Kyoto J. Math. Volume 50, Number 3
(2010), 481-490.
Abstract
Let $L=({1}/{2})\nabla\cdot a\nabla+b\cdot\nabla+W$ be a critical elliptic operator on $\mathbb{R}^{d}$. For a certain class of potential functions, we consider the generalized principal eigenvalues of $L_{t}=L+tV$. We show that it is differentiable if and only if $L_{0}$ is null critical.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.kjm/1281531710
Digital Object Identifier: doi:10.1215/0023608X-2010-002
Zentralblatt MATH identifier: 05793433
Mathematical Reviews number (MathSciNet): MR2723860
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Digital Object Identifier: doi:10.1007/BF01189100
Kyoto Journal of Mathematics
