A problem with two nonlocal boundary conditions for a mixed type equation
type: Item
instance of: scholarly article
title: A problem with two nonlocal boundary conditions for a mixed type equation
zbMATH Open document ID: 0968.35084
author: M. E. Lerner
author: O. A. Repin
published in: Doklady Mathematics
publication date: 2001-01-28T00:00:00Z
review text: The mixed type equation \[ \text{sgn }y|y|^m u_{xx}+ u_{yy}= 0,\quad m>0\tag{1} \] is considered in the domain \(D\) bounded by the straight lines \(x= 0\) and \(x=1\) when \(y>0\) and by the characteristics of (1) when \(y< 0\). The authors formulate and prove solvability of a boundary value problem for (1) with nonlocal boundary conditions.
Mathematics Subject Classification ID: 35M10
Mathematics Subject Classification ID: 35G15
zbMATH DE Number: 1557675
zbMATH Keywords: mixed type equations
zbMATH Keywords: nonlocal conditions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1557675