Open AccessA Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set
Author(s) -
Nguyễn Thành Long,
Le Thi Phuong Ngoc
Publication year - 2007
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2007/20295
Subject(s) - mathematics , compact space , set (abstract data type) , mathematical analysis , boundary value problem , weak solution , wave equation , solution set , boundary (topology) , pure mathematics , computer science , programming language
The purpose of this paper is to show that the set of weak solutions of the initial-boundary value problem for the linear wave equation is nonempty, connected, and compact. Copyright c 2007 N. T. Long and L. T. P. Ngoc.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom