SOLVABILITY IN THE SENSE OF SEQUENCES TO SOME NON-FREDHOLM OPERATORS

被引：0
|
作者：
Volpert, Vitaly [1 ,2 ]
Vougalter, Vitali [3 ]
机构：
[1] Univ Lyon 1, CNRS, Inst Camille Jordan, UMR 5208, F-69622 Villeurbanne, France
[2] Southern Fed Univ Rostov On Don, Dept Math Mech & Comp Sci, Rostov Na Donu, Russia
[3] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Rondebosch, South Africa
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年
关键词：
Solvability conditions; non Fredholm operators; Sobolev spaces; EQUATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the solvability of certain linear nonhomogeneous elliptic problems and show that under reasonable technical conditions the convergence in L-2(R-d) of their right sides implies the existence and the convergence in H-2(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 [17].
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页数：16
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