A nonlocal boundary value problem for a class of nonlinear equations of mixed type
type: Item
instance of: scholarly article
zbMATH Open document ID: 0961.35097
publication date: 2001-03-12T00:00:00Z
Mathematics Subject Classification ID: 35M10
Mathematics Subject Classification ID: 35D05
zbMATH DE Number: 1573248
zbMATH Keywords: Sobolev type spaces
zbMATH Keywords: Schauder's fixed point theorem
MaRDI profile type: Publication
author: M. Karatopraklieva
title: A nonlocal boundary value problem for a class of nonlinear equations of mixed type
published in: Doklady Bolgarskoĭ Akademii Nauk
review text: A nonlocal boundary value problem (BVP) for a class of linear (semilinear) equations of mixed type is considered in a bounded cylindrical domain. The author proves existence and uniqueness results for the weak solution in appropriate Sobolev type spaces, assuming the BVP to be linear. To do this Schauder's fixed point theorem is applied.
reviewed by: Peter R. Popivanov
description: scientific article