Annalisa Massaccesi: Constructions for A C^1 Function with Prescribed Gradient on A Cantor-Type Set

Seminars - Analysis and Applied Mathematics Seminar
ANNALISA MASSACCESI, Universita di Padova
16:00 - 17:15
room 3-E4-SR03 (Rontgen)

Abstract: In this talk I will outline the iterative construction of a C^1, bounded function u, whose gradient coincides with a prescribed vectorfield F on a Cantor-type set C. It is transparent from the construction the presence of a trade off between the size of C and the Hölder regularity of the gradient of u. This type of construction is the building block for counterexamples to Frobenius theorem when the tangency set is not regular enough.

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