Mappings of finite distortion 1 - NMMA577
Title: Zobrazení s konečnou distorzí 1
Guaranteed by: Department of Mathematical Analysis (32-KMA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2024
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: English, Czech
Teaching methods: full-time
Note: course can be enrolled in outside the study plan
Guarantor: prof. RNDr. Stanislav Hencl, Ph.D.
Class: M Mgr. MA
M Mgr. MA > Volitelné
Classification: Mathematics > Functional Analysis
Incompatibility : NRFA057
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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.
Last update: T_KMA (26.04.2013)
Literature -

Stanislav Hencl and Pekka Koskela, Lectures on mappings of finite distortion, Lecture Notes in Mathematics 2096, Springer, 2014, 176pp.

Last update: Hencl Stanislav, prof. RNDr., Ph.D. (24.04.2023)
Syllabus -

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

Last update: Hencl Stanislav, prof. RNDr., Ph.D. (24.04.2023)