期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2002
卷号:31
DOI:10.1155/S0161171202005860
出版社:Hindawi Publishing Corporation
摘要:We prove the existence, uniqueness, and the continuous dependence
of a generalized solution upon the data of certain parabolic and
hyperbolic equations with a boundary integral condition. The proof
uses a functional analysis method based on a priori estimates
established in nonclassical function spaces, and on the
density of the range of the linear operator associated to the
abstract formulation of the studied problem.