Solution Existence for Some Non-Linear Equations
(60 – 90 min.)
J. Dittrich (Nuclear Physics Institute ASCR,
CZ-250 68 Rez, Czech Republic)
Abstract:
A proof of the solution existence applicable to some non-linear
equations is based on the Tikhonov theorem (product of the
compact topological spaces is compact in the product space
topology) and its well known consequence that the unit
ball in a reflexive Banach space is weakly compact. The
proof and its prerequisities from the topology and functional
analysis will be shown. This will be a purely review lecture
without original results.