Function Space and Variational Methods
In the preceding chapters, specifically in Chapters 8 and 14, we were afforded opportunities to make comments on the relations between the concepts of function space and those of the calculus of variations. It seems worthwhile to return to these questions by examining certain of their aspects from somewhat different points of view. We first examine the so-called inverse problem, in which one looks for a functional whose critical points (i.e., extrema and saddle points) are the solutions of the given differential equation.
KeywordsFunction Space Bilinear Form Compatible State Preceding Equation Complementary Energy
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