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Fredholm properties of elliptic operators on ${\Bbb R}^n$

Tom 399 / 2001

Daniel M. Elton Dissertationes Mathematicae 399 (2001), 1-72 MSC: 35J30, 35J45, 47A53 DOI: 10.4064/dm399-0-1

Streszczenie

We study the Fredholm properties of a general class of elliptic differential operators on $\R^n$. 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.

Autorzy

  • Daniel M. EltonSchool of Mathematical Sciences
    University of Sussex
    Falmer, Brighton BN1 9QH
    United Kingdom
    e-mail

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