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

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 secon...

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Bibliographic Details
Main Authors: Vitaly Volpert, Vitali Vougalter
Format: Article
Language:English
Published: Texas State University 2013-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/160/abstr.html