Prelegent(ci)

Wojciech Górny

Afiliacja

Uniwersytet Warszawski (MIM)

Termin

12 października 2017 12:30

Pokój

p. 5070

Tytuł w języku angielskim

Non)uniqueness of minimizers in the least gradient proble

Seminarium

Seminarium Zakładu Równań Fizyki Matematycznej

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In the least gradient problem with continuous boundary data it is well known that a minimizer exists and is unique. If we relax this assumption, then in many cases we recover existence of minimizers, but even the simplest examples show that uniqueness fails. In this talk, I will discuss this issue and sketch the proof of a structure result for minimizers in the least gradient problem: two least gradient function with the same trace may only differ on a set, on which they are both locally constant

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