A mixed problem with an integral condition for a hyperbolic equation.
type: Item
instance of: scholarly article
title: A mixed problem with an integral condition for a hyperbolic equation.
zbMATH Open document ID: 1073.35146
DOI: 10.1023/A:1026167021195
author: Yanyan Li
published in: Mathematical Notes
publication date: 2004-12-02T00:00:00Z
review text: The paper is devoted to the study of a mixed problem for a second order hyperbolic equation with Neumann and nonlocal integral boundary conditions. These kind of integral conditions occur in the study of physical processes when data on the boundary are incompletely known as for instance in heat propagation, diffusion of particles in turbulent plasma, soil water transfer in capillary-porous media etc. For the stated problem one proves -- under certain circumstances -- the existence and uniqueness of a generalized solution. The existence is proved by using the Galerkin method and the proof of the uniqueness is based on a priori estimate in a function space introduced in the paper.
reviewed by: Claudia Simionescu-Badea
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35D05
zbMATH DE Number: 2121052
zbMATH Keywords: hyperbolic equation
zbMATH Keywords: Cauchy problem
zbMATH Keywords: Neumann boundary condion
zbMATH Keywords: nonlocal integral condition
zbMATH Keywords: Galerkin method
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2121052