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Bound for resolvent of second order elliptic operator in low spectral stripe

✍ Scribed by Andrzej Łada; Leszek Sidz


Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
125 KB
Volume
25
Category
Article
ISSN
0170-4214

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✦ Synopsis


Abstract

Mourre method of commutators is used to get low energy resolvent bound for an abstract operatorin a Hilbert space and for a second order variable coefficient elliptic operator in R^d^, d⩾3. Copyright © 2002 John Wiley & Sons, Ltd.


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## Communicated by G. Franssens We propose a method for solving boundary value and eigenvalue problems for the elliptic operator D = div p grad+q in the plane using pseudoanalytic function theory and in particular pseudoanalytic formal powers. Under certain conditions on the coefficients p and q w