Finite propagation speed and kernels of strictly elliptic operators

Finite propagation speed and kernels of strictly elliptic operators

We establish estimates of the resolvent and other related kernels and discuss Lp-theory for a class of strictly elliptic operators on Rn. The class of operators considered in the paper is of the form A0+B with the leading elliptic part A0 and a singular perturbation B, whose coefficients have Lp-typ...

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Bibliographic Details
Main Author: David Gurarie
Format: Article
Language:English
Published: Wiley 1985-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
elliptic operator
resolvent
semigroup
perturbation series
finite propagation speed.
Online Access:http://dx.doi.org/10.1155/S0161171285000072
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Summary:We establish estimates of the resolvent and other related kernels and discuss Lp-theory for a class of strictly elliptic operators on Rn. The class of operators considered in the paper is of the form A0+B with the leading elliptic part A0 and a singular perturbation B, whose coefficients have Lp-type and are modeled after Schrödinger operators.
ISSN:0161-1712
1687-0425

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