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Least gradient problem on unbounded domains

Prelegent(ci)
Wojciech Górny (doktorant MIM)
Termin
21 marca 2019 12:30
Pokój
p. 5070
Seminarium
Seminarium Zakładu Równań Fizyki Matematycznej

We discuss the least gradient problem, which in dimension two is linked
to the optimal transport problem, in two settings. The first  
one concerns the existence of minimisers for discontinuous boundary data,  
while the second one concerns new phenomena arising in the case when  
the domain is unbounded. Both cases are studied using a  
projection-based method valid also in the anisotropic case.