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:2004
卷号:2004
DOI:10.1155/S0161171204211383
出版社:Hindawi Publishing Corporation
摘要:This paper deals with an inverse problem of determining a
nonlinear source term in a quasilinear diffusion equation with
overposed final observations. Applying integral identity methods,
data compatibilities are deduced by which the inverse source
problem here is proved to be reasonable and solvable.
Furthermore, with the aid of an integral identity that connects
the unknown source terms with the known data, a conditional
stability is established.