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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Main Author: David Gurarie
Format: Article
Language:English
Published: Wiley 1985-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171285000072
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author David Gurarie
author_facet David Gurarie
author_sort David Gurarie
collection DOAJ
description 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.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1985-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-c2a263e60b204dce80d05c4ae8f65c3b2025-02-03T01:32:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-0181759110.1155/S0161171285000072Finite propagation speed and kernels of strictly elliptic operatorsDavid Gurarie0Department of Mathematics, Case Western Reserve University, Cleveland 44106, Ohio, USAWe 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.http://dx.doi.org/10.1155/S0161171285000072elliptic operatorresolventsemigroupperturbation seriesfinite propagation speed.
spellingShingle David Gurarie
Finite propagation speed and kernels of strictly elliptic operators
International Journal of Mathematics and Mathematical Sciences
elliptic operator
resolvent
semigroup
perturbation series
finite propagation speed.
title Finite propagation speed and kernels of strictly elliptic operators
title_full Finite propagation speed and kernels of strictly elliptic operators
title_fullStr Finite propagation speed and kernels of strictly elliptic operators
title_full_unstemmed Finite propagation speed and kernels of strictly elliptic operators
title_short Finite propagation speed and kernels of strictly elliptic operators
title_sort finite propagation speed and kernels of strictly elliptic operators
topic elliptic operator
resolvent
semigroup
perturbation series
finite propagation speed.
url http://dx.doi.org/10.1155/S0161171285000072
work_keys_str_mv AT davidgurarie finitepropagationspeedandkernelsofstrictlyellipticoperators