Lusin N conditions violation by Sobolev homeomorphism designed by Ponomarev

Speaker(s)

Tomáš Roskovec

Affiliation

University of South Bohemia in České Budějovice

Date

March 9, 2020, 2 p.m.

Room

room 5070

Seminar

Seminar of Differential Equations Group

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The talk is based on the book "Lectures on Mappings of Finite Distortion" (2014) by S. Hencl and P. Koskela.

The construction introduced in this talk are based on original papers

[MR0293024] Ponomarev, S. P. An example of an ACTLp homeomorphism that is not absolutely continuous in the sense of Banach. (Russian) Dokl. Akad. Nauk SSSR 201 (1971), 1053–1054.

[MR1985612]Koskela, Pekka; Malý, Jan Mappings of finite distortion: the zero set of the Jacobian. J. Eur. Math. Soc. (JEMS) 5 (2003), no. 2, 95–105.

and partially [MR1310951] Malý, Jan; Martio, Olli Lusin's condition (N) and mappings of the class W1,n.

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