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Mappings of finite distortion 2

Class at Faculty of Mathematics and Physics |
NMMA578

Syllabus

We study basic properties of mappings of finite distortion like continuity, differentiability, invertibility, null sets are mapped to null sets and so on.

Annotation

Quasiconformal mappings form a natural generalization of conformal mappings in the plane to higher dimensions and they have many applications for example in the theory of Sobolev spaces, in partial differential equations and in the theory of nonlinear elasticity. Basic properties of quasiconformal mappings like continuity, differentiability, regularity and equivalence of different definitions will be studied in the lecture.