Metric methods for heteroclinic connections
Copyright policy )Metric methods for heteroclinic connections
We consider the problem among curves connecting two given wells of W≥0, and we reduce it, following a standard method, to a geodesic problem of the form with . We then prove existence of curves minimizing this new action just by proving that the distance induced by K is proper (i.e., its closed balls are compact). The assumptions on W are minimal, and the method seems robust enough to be applied in the future to some PDE problems. Copyright © 2016 John Wiley & Sons, Ltd.
- University of Paris-Sud France
- French National Centre for Scientific Research France
- University of Paris-Saclay France
- Université Paris-Saclay France
- Département de Mathématiques France
Mathematics - Metric Geometry, Methods involving semicontinuity and convergence; relaxation, Metric spaces, metrizability, FOS: Mathematics, geodesic problem, Metric Geometry (math.MG), heteroclinic connections, Optimality conditions for problems involving ordinary differential equations, Variational problems in applications to the theory of geodesics (problems in one independent variable)
Mathematics - Metric Geometry, Methods involving semicontinuity and convergence; relaxation, Metric spaces, metrizability, FOS: Mathematics, geodesic problem, Metric Geometry (math.MG), heteroclinic connections, Optimality conditions for problems involving ordinary differential equations, Variational problems in applications to the theory of geodesics (problems in one independent variable)
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