Least gradient problem on unbounded domains

Speaker(s)

Wojciech Górny (doktorant MIM)

Date

March 21, 2019, 12:30 p.m.

Room

room 5070

Seminar

Seminar of Mathematical Physics Equations Group

---

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.

---