On the initial value problem for causal variational principles
-
Felix Finster
and
Andreas Grotz
Abstract
We formulate the initial value problem for causal variational principles in the continuous setting on a compact metric space. The existence and uniqueness of solutions is analyzed. The results are illustrated by simple examples.
Funding statement: Andreas Grotz would like to thank the German Academic Exchange Service (DAAD) who supported this work by a fellowship within its PostDoc program.
Acknowledgements
The authors are grateful to Johannes Kleiner for helpful comments on the manuscript. Andreas Grotz is also grateful to the Department of Mathematics at Harvard University for its hospitality while working on the manuscript.
References
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Articles in the same Issue
- Frontmatter
- Arithmetic in the fundamental group of a p-adic curve. On the p-adic section conjecture for curves
- Balls minimize trace constants in BV
- Geometric analysis on Cantor sets and trees
- On the initial value problem for causal variational principles
- Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function
- The long-time behavior of 3-dimensional Ricci flow on certain topologies
- Dimensional estimates for singular sets in geometric variational problems with free boundaries
- On the motive of some hyperKähler varieties
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Articles in the same Issue
- Frontmatter
- Arithmetic in the fundamental group of a p-adic curve. On the p-adic section conjecture for curves
- Balls minimize trace constants in BV
- Geometric analysis on Cantor sets and trees
- On the initial value problem for causal variational principles
- Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function
- The long-time behavior of 3-dimensional Ricci flow on certain topologies
- Dimensional estimates for singular sets in geometric variational problems with free boundaries
- On the motive of some hyperKähler varieties
- Erratum to Definition and properties of supersolutions to the porous medium equation (J. reine angew. Math. 618 (2008), 135–168)
