Tapia Garcia, S. (2024, November 8). An Eikonal equation for the global slope [Presentation]. 4th Austrian Calculus of Variations Day, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/206578
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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Date (published):
8-Nov-2024
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Event name:
4th Austrian Calculus of Variations Day
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Event date:
7-Nov-2024 - 8-Nov-2024
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Event place:
Innsbruck, Austria
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Keywords:
Metric Space; Ikonal equation; Global slope
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Abstract:
In this talk we study an Eikonal-like equation in which the norm of the derivative is replaced by the global slope of the function. We discuss existence of solutions, uniqueness, stability and an ergodic approximation.
Finally, we deduce a new representation formula for lower semicontinuous functions, defined on complete metric spaces, in terms of their global slope. This is a joint work with T.M. Lê.