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

1 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
ICJ - Institut Camille Jordan [Villeurbanne], Inria Grenoble - Rhône-Alpes, CGPhiMC - Centre de génétique et de physiologie moléculaire et cellulaire
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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Electronic Journal of Differential Equations, Texas State University, Department of Mathematics, 2013, 2013 (160), pp.1-16

https://hal.archives-ouvertes.fr/hal-00846784
Contributeur : Vitaly Volpert <>
Soumis le : samedi 20 juillet 2013 - 09:06:42
Dernière modification le : jeudi 15 mars 2018 - 10:31:30

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• HAL Id : hal-00846784, version 1

### Citation

Vitaly Volpert, Vitali Vougalter. Solvability in the sense of sequences to some non-Fredholm operators. Electronic Journal of Differential Equations, Texas State University, Department of Mathematics, 2013, 2013 (160), pp.1-16. 〈hal-00846784〉

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