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：2006
卷号：2006
DOI：10.1155/IJMMS/2006/92134
出版社：Hindawi Publishing Corporation
摘要：The nonlocal boundary value problems for differential operator
equations of second order with dependent coefficients are studied.
The principal parts of the differential operators generated by
these problems are non-selfadjoint. Several conditions for the
maximal regularity and the Fredholmness in Banach-valued
Lp-spaces of these problems are given. By using these
results, the maximal regularity of parabolic nonlocal initial
boundary value problems is shown. In applications, the nonlocal
boundary value problems for quasi elliptic partial differential
equations, nonlocal initial boundary value problems for parabolic
equations, and their systems on cylindrical domain are
studied.
