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Nonlinear Differential Equations and Inequalities for Ph.D. Students II - NMMO622

Title:	Nelineární diferenciální rovnice a nerovnice pro doktorandy II
Guaranteed by:	Mathematical Institute of Charles University (32-MUUK)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2021
Semester:	summer
E-Credits:	3
Hours per week, examination:	summer s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech, English
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	doc. RNDr. Miroslav Bulíček, Ph.D.
Class:	DS, matematické a počítačové modelování DS, matematická analýza
Classification:	Mathematics > Mathematical Modeling in Physics
Incompatibility :	NDIR143
Interchangeability :	NDIR143
Is interchangeable with:	NDIR143

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: G_M (07.05.2014)

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

Aim of the course -

Last update: G_M (07.05.2014)

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

Course completion requirements -

Last update: doc. RNDr. Miroslav Bulíček, Ph.D. (11.06.2019)

The will be an oral exam at the end of the semester. The student should provide the knowledge of the topics presented during the semester.

Literature - Czech

Last update: G_M (07.05.2014)

T.Roubíček: Nonlinear Partial Differential Equations with Applications. Birkhauser, Basel, 2005.

Teaching methods -

Last update: G_M (07.05.2014)

Lecture

Syllabus -

Last update: G_M (07.05.2014)

Continuing the lecture NDIR142, after presentation of auxiliary tools from theory of Bochner spaces of Banach-space valued functions and Aubin-Lions' theorem, it will have analogous structure as the lecture mentioned. Hovewer, beside Galerkin's method, also Rothe's method of semidiscretization in time is presented. Abstract initial-value or periodic problems are applied to initial- (or periodic) boundary-value problems for concrete quasi- or semi-linear parabolic partial differential equations or inequalities. So-called doubly nonlinear problems (i.e. time derivative is involved in a nonlinear manner) are addressed, too.