Nonlinear analysis: real world applications 论文

摘要

On the basis of the recent progress in understanding the abstract setting for Friedrichs symmetric positive systems by Ern, Guermond and Caplain (2007), as well as Antoni c and Burazin (2010), an attempt is made to relate these results to the classical Friedrichs theory. A particular set of sucient conditions for a boundary matrix eld to dene a boundary operator is given, and the applicability of this procedure is shown by examples of boundary/initial value problems for second-order partial dierential equations written as symmetric systems.