Geodesic
A priori estimates of solutions of boundary value problems in a~band for a~class of degenerate elliptic equation of higher order
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2012), pp. 50-53

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In this paper we consider two boundary value problems in a band for degenerate elliptic equations of higher order. These equations degenerate on one boundary of a band into the third-order equation in one variable. Problems are investigated in weight spaces, similar to weight Sobolev spaces, which norms are built using a special integral transform. We obtain a priori estimates in weight spaces of solutions of boundary value problems in a band for higher order elliptic equations degenerating at one boundary of a band into the third-order equation in one variable.
Keywords: a priori estimate, degenerate elliptic equation, Sobolev weight spaces. 
@article{IVM_2012_7_a5,
     author = {A. D. Baev and S. S. Buneev},
     title = {A priori estimates of solutions of boundary value problems in a~band for a~class of degenerate elliptic equation of higher order},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {50--53},
     publisher = {mathdoc},
     number = {7},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_7_a5/}
}
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A. D. Baev; S. S. Buneev. A priori estimates of solutions of boundary value problems in a~band for a~class of degenerate elliptic equation of higher order. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2012), pp. 50-53. http://geodesic.mathdoc.fr/item/IVM_2012_7_a5/