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Nonlinear Differential Equations and Inequalities I - NDIR042

Title:	Nelineární diferenciální rovnice a nerovnice I
Guaranteed by:	Mathematical Institute of Charles University (32-MUUK)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2018
Semester:	winter
E-Credits:	5
Hours per week, examination:	winter s.:2/1, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	doc. RNDr. Miroslav Bulíček, Ph.D.
Classification:	Mathematics > Differential Equations, Potential Theory
Interchangeability :	NMMO533
Is incompatible with:	NMMO533
Is pre-requisite for:	NDIR043
Is interchangeable with:	NMMO533

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: prof. Ing. Tomáš Roubíček, DrSc. (16.05.2007)

Pseudomonotone and monotone operators, set-valued mappings and applications to nonlinear elliptic partial differential equations and inequalities.

Aim of the course -

Last update: ROUBICEK/MFF.CUNI.CZ (01.04.2008)

To present at least a bit of Nonlinear Differential Equations and Inequalities

Literature -

Last update: ROUBICEK/MFF.CUNI.CZ (28.03.2008)

T.Roubíček: Nonlinear differenctial equations with applications. Birkhauser, Basel, 2005.

Teaching methods -

Last update: ROUBICEK/MFF.CUNI.CZ (01.04.2008)

Lectures and exercises

Syllabus -

Last update: prof. Ing. Tomáš Roubíček, DrSc. (16.05.2007)

The goal is a presentation of fundamental techniques used for nonlinear differential equations and inequalities both on the level of abstract mappings in Banach spaces and on the typical cases derived as weak formulations of steady-state boundary-value or unilateral problems or free-boundary problems for quasi- or semi-linear elliptic partial differential equations. In particular, methods of monotonicity and compactness, variational methods for problem with (possibly nonsmooth) potentials, Galerkin's method, and the penalty method will be addressed, as well as systems of nonlinear differential equations with definite applications in (thermo)mechanics of continua or other areas of physics.

Exercises will involve modifications of problems presented in the main course.