2013
DOI: 10.1134/s1064562413010018
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On a class of boundary value problems in a strip for degenerate higher-order elliptic equations

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Cited by 2 publications
(2 citation statements)
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“…In this paper, we obtain a priori estimates for solutions of boundary-value problems in a strip for high-order equations that degenerate on the boundary into an equation of odd order in one of the variables. 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].…”
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confidence: 80%
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“…In this paper, we obtain a priori estimates for solutions of boundary-value problems in a strip for high-order equations that degenerate on the boundary into an equation of odd order in one of the variables. 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: 80%
“…In particular, boundary-value problems in a strip were studied for high-order equations that degenerate into an even-order equation on the boundary of the domain. In [4,5], A. D. Baev and S. S. Buneev studied boundary-value problems in a strip for high-order elliptic equations degenerating into a third-order equation. In [8], coercive a priori estimates were obtained for a high-order elliptic equation that degenerates into an equation of odd order at the boundary t = 0.…”
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confidence: 99%