MU24003 Applications of Partial Differential Equations II

Mathematical Institute in Opava
Winter 2017
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Petr Blaschke, Ph.D. (lecturer)
RNDr. Petr Blaschke, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Miroslav Engliš, DrSc.
Mathematical Institute in Opava
Prerequisites (in Czech)
MU24002 Applications of Partial Differential Equations I
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Students will acquire basic knowledge of applications of partial diffferential equations needed for further study of mathematics, as well as for completing the course of Applications of Partial Differential Equations. Contents of the course cover part of the requirements specified for the Final State Examination.
Syllabus
Review of basic concepts and results of functional analysis and function spaces.
Generalized formulations of stationary problems, their finite-dimensional approximations and solutions.
Evolution equations.
Literature
    recommended literature
  • V. I. Averbuch. Partial differential equations. MÚ SU, Opava. info
  • J. Franců. Moderní metody řešení diferenciálních rovnic. Akademické nakladatelství CERM, Brno, 2006. info
  • J. Jost. Partial differential equations. Springer, New York, 2002. info
  • R. Strichartz. A guide to distribution theory and Fourier transforms. 1994. info
  • M. Renardy, R. C. Rogers. An introduction to partial differential equations. New York, 1993. info
  • C. Zuily. Problems in distributions and partial differential equations. 1988. info
  • D. Gilbarg, N. S. Trudinger. Elliptic partial differential equations of second order. Second edition. Springer, Berlin, 1983. info
  • L. Schwartz. Matematické metody ve fyzice. Státní nakladatelství technické literatury, Prah, 1972. info
Language of instruction
Czech
Teacher's information
Požadavky pro získání zápočtu: minimálně 4 vyřešené problémy formou domácího úkolu, referát na cvičení na tému, na které so student domluví s cvičícím.
Zkouška: znalost látky v rozsahu probraném na přednáškách - jenom ústní zkouška, 3 okruhy otázek - teoretická (věta, definice, důkaz), praktická (přiklad) a aplikace teorie na problém.
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is also listed under the following terms Winter 2009, Winter 2010, Winter 2011, Winter 2012, Winter 2013, Winter 2014, Winter 2015, Summer 2016, Winter 2016, Summer 2017, Summer 2018, Winter 2018, Summer 2019.
  • Enrolment Statistics (Winter 2017, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2017/MU24003