Fredholm properties of elliptic operators on ℝⁿ

Daniel M. Elton

  • 2001

Abstract

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We study the Fredholm properties of a general class of elliptic differential operators on ℝⁿ. These results are expressed in terms of a class of weighted function spaces, which can be locally modeled on a wide variety of standard function spaces, and a related spectral pencil problem on the sphere, which is defined in terms of the asymptotic behaviour of the coefficients of the original operator.

How to cite

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Daniel M. Elton. Fredholm properties of elliptic operators on ℝⁿ. 2001. <http://eudml.org/doc/286009>.

@book{DanielM2001,
abstract = {We study the Fredholm properties of a general class of elliptic differential operators on ℝⁿ. These results are expressed in terms of a class of weighted function spaces, which can be locally modeled on a wide variety of standard function spaces, and a related spectral pencil problem on the sphere, which is defined in terms of the asymptotic behaviour of the coefficients of the original operator.},
author = {Daniel M. Elton},
keywords = {a priori estimates; weighted spaces; spectral pencil problem; asymptotic behaviour},
language = {eng},
title = {Fredholm properties of elliptic operators on ℝⁿ},
url = {http://eudml.org/doc/286009},
year = {2001},
}

TY - BOOK
AU - Daniel M. Elton
TI - Fredholm properties of elliptic operators on ℝⁿ
PY - 2001
AB - We study the Fredholm properties of a general class of elliptic differential operators on ℝⁿ. These results are expressed in terms of a class of weighted function spaces, which can be locally modeled on a wide variety of standard function spaces, and a related spectral pencil problem on the sphere, which is defined in terms of the asymptotic behaviour of the coefficients of the original operator.
LA - eng
KW - a priori estimates; weighted spaces; spectral pencil problem; asymptotic behaviour
UR - http://eudml.org/doc/286009
ER -

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