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Elliptic Functional Differential Equations with Degenerations
Lobachevskii Journal of Mathematics Pub Date : 2020-07-27 , DOI: 10.1134/s199508022005011x V. A. Popov
中文翻译:
退化的椭圆型泛函微分方程
更新日期:2020-07-27
Lobachevskii Journal of Mathematics Pub Date : 2020-07-27 , DOI: 10.1134/s199508022005011x V. A. Popov
Abstract
This review is devoted to differential-difference equations with degeneration in a bounded domain \(Q\subset\mathbb{R}^{n}\) and applications (Kato conjecture, nonlocal boundary value problem). We consider differential-difference operators with degeneration of the second order and generalization to \(2m\)-order and the case where differential-difference operator contains several degenerate difference operators with degeneration. Generalized solutions of such equations may not belong even to the Sobolev space \(W^{1}_{2}(Q)\).中文翻译:
退化的椭圆型泛函微分方程