Correct solvability of boundary-value problems in a halfspace for quasielliptic equations
type: Item
instance of: scholarly article
title: Correct solvability of boundary-value problems in a halfspace for quasielliptic equations
zbMATH Open document ID: 0671.35031
DOI: 10.1007/BF00969863
published in: Siberian Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: Consider the boundary value problem for the quasielliptic equation \[ (1)\quad L(D_ x,D_{xn})u=f(x,x_ n),\quad x_ n>0,\quad x\in R_{n-1} \] \[ B_ j(D_ x,D_{xn})u|_{x_ n=0}=0,\quad j=1,...,\mu \] with boundary operators. This paper deals with the problem on the adapted solvability of the boundary problem (1) in Sobolev classes \(W^ r_ p(R^+_ n)\), \(1<p<\infty\). Some sufficient conditions for this are established.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 4097898
zbMATH Keywords: solvability
zbMATH Keywords: boundary value problems
zbMATH Keywords: quasielliptic equations
zbMATH Keywords: quasielliptic
zbMATH Keywords: boundary operators
zbMATH Keywords: adapted solvability
zbMATH Keywords: Sobolev classes
author: G. V. Demidenko
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4097898