S. Z. Djamalov, S. G. Pyatkov, “On some boundary value problems for multidimensional higher order equations of mixed type”, Sibirsk. Mat. Zh., 2020, Volume 61, Number 4,Pages <nobr>777

This article is cited in 3 papers

On some boundary value problems for multidimensional higher order equations of mixed type

S. Z. Djamalov^ab, S. G. Pyatkov^cd

^a V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan
^b Branch of Gubkin Russian State University of Oil and Gaz (National research University) in Tashkent
^c Yugra State University, Khanty-Mansiysk
^d Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: 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.

Keywords: mixed type equation, nonlocal boundary value problem, boundary value problem, generalized solution, regular solution, uniqueness, existence.

UDC: 517.95

MSC: 35R30

Received: 19.12.2019
Revised: 19.12.2019
Accepted: 19.02.2020

DOI: 10.33048/smzh.2020.61.405