Subjects

Your browser does not support JavaScript, or its support is disabled. Some features may not be available.

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 2023
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:	taught
Language:	English, Czech
Teaching methods:	full-time
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

Opinion survey results Examination dates WS schedule Noticeboard

Annotation -

Last update: T_KMA (26.04.2013)

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.

Literature -

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

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

Syllabus -

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

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