On the existence of solutions to a class of boundary value problems in a strip for high-order degenerate elliptic equations

Баев, А. Д.; Pankov, V. V.

doi:10.1134/s1064562417040214

Dokl. Math.

2017

DOI: 10.1134/s1064562417040214

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On the existence of solutions to a class of boundary value problems in a strip for high-order degenerate elliptic equations

А. Д. Баев

V. V. Pankov

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2022

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“…Thus, this work is a natural continuation of the research begun in [4,5,8]. The formulation of the obtained results is contained in [6].…”

mentioning

confidence: 77%

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A Priori Estimate of Solutions of One Boundary-Value Problem in a Strip for a Higher-Order Degenerate Elliptic Equation

et al. 2022

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In this paper, we prove coercive a priori estimates of solutions of a Dirichlet-type boundaryvalue problem in a strip for a certain higher-order degenerate elliptic equation containing weighted derivatives of a special form up to the order 2m and ordinary partial derivatives up to the order 2k − 1 under the condition 2m > 2k − 1. At the boundary of the strip, Dirichlet-type conditions are imposed. A coercive a priori estimate for solutions of the problem considered in special weighted Sobolev-type spaces is obtained.

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“…Thus, this work is a natural continuation of the research begun in [4,5,8]. The formulation of the obtained results is contained in [6].…”

mentioning

confidence: 77%

“…Since for j ≤ m − 1 − k the inequality j + k ≤ m − 1 holds, taking into account the boundary conditions (6) we obtain…”

mentioning

confidence: 99%

A Priori Estimate of Solutions of One Boundary-Value Problem in a Strip for a Higher-Order Degenerate Elliptic Equation

et al. 2022

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On the existence of solutions to a class of boundary value problems in a strip for high-order degenerate elliptic equations

Cited by 1 publication

References 7 publications

A Priori Estimate of Solutions of One Boundary-Value Problem in a Strip for a Higher-Order Degenerate Elliptic Equation

A Priori Estimate of Solutions of One Boundary-Value Problem in a Strip for a Higher-Order Degenerate Elliptic Equation

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