On Some Boundary Value Problems for Multidimensional Higher Order Equations of Mixed Type

We describe the statements of boundary value problems for multidimensional higher order equations of mixed type and propose a method for constructing coercive boundary value problems. Also, we prove the generalized and regular solvability of these boundary value problems in Sobolev spaces.

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Bibliographische Detailangaben
Veröffentlicht in:	Siberian mathematical journal 2020-07, Vol.61 (4), p.610-625
Hauptverfasser:	Dzhamalov, S. Z., Pyatkov, S. G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary value problems Coercivity Mathematical analysis Mathematics Mathematics and Statistics Sobolev space
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Beschreibung
Zusammenfassung:	We describe the statements of boundary value problems for multidimensional higher order equations of mixed type and propose a method for constructing coercive boundary value problems. Also, we prove the generalized and regular solvability of these boundary value problems in Sobolev spaces.
ISSN:	0037-4466 1573-9260
DOI:	10.1134/S0037446620040059