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- Title
Causal variational principles on measure spaces.
- Authors
Finster, Felix
- Abstract
We introduce a class of variational principles on measure spaces which are causal in the sense that they generate a relation on pairs of points, giving rise to a distinction between spacelike and timelike separation. General existence results are proved. It is shown in examples that minimizers need not be unique. Counter examples to compactness are discussed. The existence results are applied to variational principles formulated in indefinite inner product spaces.
- Subjects
VARIATIONAL principles; INDEFINITE inner product spaces; CALCULUS of variations; INNER product spaces; BILINEAR forms
- Publication
Journal für die Reine und Angewandte Mathematik, 2010, Vol 2010, Issue 646, p141
- ISSN
0075-4102
- Publication type
Article
- DOI
10.1515/CRELLE.2010.069