On some solvability theorems for pseudo-differential equations

2023/02/20 by Vasilyev, Vladimir, Polunin, Victor, Shmal, Igor
#35S05 #47K05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2302.10054

Abstract

We study a model elliptic pseudo-differential equation and simplest boundary value problems for a half-space and a special cone in Sobolev--Slobodetskii spaces which have different smoothness with respect to separate variables. Sufficient conditions for a unique solvability for such boundary value problems are described.

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