Differentiable Peano Cubes

Speaker(s)

Piotr Hajłasz

Affiliation

University of Pittsburgh

Date

May 14, 2009, 12:30 p.m.

Room

room 4060

Seminar

Seminar of Mathematical Physics Equations Group

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In the talk I will discuss a problem of finding regular mappings from an n-dimensional cube onto a metric space. The problem is related to the classical Peano curve problem, but now we require that the mappings have higher regularity: Holder continuity, Lipschitz continuity, Sobolev regularity or even smoothness in a classical sense. The talk is based on my joint work with Jeremy Tyson.

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