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Journal Articles Electronic Journal of Differential Equations Year : 2013

Solvability in the sense of sequences to some non-Fredholm operators

Abstract

We study the solvability of certain linear nonhomogeneous elliptic problems and show that under reasonable technical conditions the convergence in $L^2(\mathbb{R}^d)$ of their right sides implies the existence and the convergence in $H^2(\mathbb{R}^d)$ of the solutions. The equations involve second order differential operators without Fredholm property and we use the methods of spectral and scattering theory for Schrodinger type operators analogously to our preceding work [
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Dates and versions

hal-00846784 , version 1 (20-07-2013)

Identifiers

  • HAL Id : hal-00846784 , version 1

Cite

Vitaly Volpert, Vitali Vougalter. Solvability in the sense of sequences to some non-Fredholm operators. Electronic Journal of Differential Equations, 2013, 2013 (160), pp.1-16. ⟨hal-00846784⟩
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