Topological structure of solution sets to parabolic problems
نویسندگان
چکیده
منابع مشابه
Topological structure of covering rough sets
In this study, we induce some topological structures in the covering rough set models, and construct their closure operators by using the covering upper approximation operators. Furthermore, we show that the minimum set of each of these topological structures is their base, and a partition on the universe of discourse. Finally, we discuss the relationships between some topologies generated by s...
متن کاملTopological Structure of Solution Sets of Differential Inclusions: the Constrained Case
We survey and announce some current results on the existence, the viability, and the topological structure of the viable solutions of differential equations and inclusion in Banach spaces under set constraints. Some new results concerning semilinear differential inclusions with state variables constrained to the so-called regular and strictly regular sets, together with their applications, are ...
متن کاملDistributed Solution of Optimal Control Problems Governed by Parabolic Equations
We present a spatial domain decomposition (DD) method for the solution of discretized parabolic linear–quadratic optimal control problems. Our DD preconditioners are extensions of Neumann-Neumann DD methods, which have been successfully applied to the solution of single elliptic partial differential equations and of linear–quadratic optimal control problems governed by elliptic equations. We us...
متن کاملMultigrid second-order accurate solution of parabolic control-constrained problems
A mesh-independent and second-order accurate multigrid strategy to solve control-constrained parabolic optimal control problems is presented. The resulting algorithms appear to be robust with respect to change of values of the control parameters and have the ability to accommodate constraints on the control also in the limit case of bang-bang control. Central to the development of these multigr...
متن کاملQuasiconvex constrained multicriteria continuous location problems: Structure of nondominated solution sets
In this paper, we consider constrained multicriteria continuous location problems in two-dimensional spaces. In the literature, the continuous multicriteria location problem in two-dimensional spaces has received special attention in the last years, although only particular instances of convex functions have been considered. Our approach only requires the functions to be strictly quasiconvex an...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topological Methods in Nonlinear Analysis
سال: 2005
ISSN: 1230-3429
DOI: 10.12775/tmna.2005.016