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Arbeitsgruppe Nichtlineare Partielle Differentialgleichungen

Kollegiengebäude Mathematik (20.30)
Zimmer 3.029

Karlsruher Institut für Technologie
Institut für Analysis
Englerstraße 2
76131 Karlsruhe

Mo-Fr 10:00-12:00, sowie Di+Do nachmittags

Tel.: 0721 608 42064

Fax.: 0721 608 46530

Partial Differential Equations (Wintersemester 2011/12)

Dozent: Dr. Kaori Nagato-Plum
Veranstaltungen: Vorlesung (0104600), Übung (0104700)
Semesterwochenstunden: 4+2

Exam results

The exam results are hanging on the blue notice board between 3A-26.1 and 3A-26.2.

The post-exam review is on March, 12th, 13:00-14:00 in room 1C-03.

The second (repetition) exam is on April, 13th, 13:00-14:00. Room: 1C-03.

Written Exam

The written exam will take place on
Thursday, 16 February 2012, 11:15 am, Hertz-Hörsaal.

Registration for the exam

Binding registration for the exam can be made at

Allianz-Building, 3A-26.1, Frau Ewald
Until 13 February!


The lectures on 28th November and on 29th November are shifted to
16th November (17:30--19:00, Nusselt HS (10.23))
17th November (17:30--19:00, Kl. HS (10.50)).

The lecture is the same as the lecture "Klassische Methoden für partielle Differentialgleichungen" in the Studienplan for the bachelor degree.

The lectures and exercise lessons will be given in English.

Vorlesung: Montag 8:00-9:30 Bauingenieure, Kleiner Hörsaal Beginn: 17.10.2011
Dienstag 11:30-13:00 Engesser-Hörsaal (HS 93)
Übung: Montag 15:45-17:15 Hertz-Hörsaal Beginn: 17.10.2011
Dozentin Dr. Kaori Nagato-Plum
Sprechstunde: Mo. -- Fr. 10:00-12:00
Zimmer 2.029 Kollegiengebäude Mathematik (20.30)
Email: kaori.nagatou@kit.edu
Übungsleiterin Dr. Maria Radosz
Sprechstunde: Mi 14:30 - 15:30 und nach Vereinbarung
Zimmer 3A-11.2 Allianz-Gebäude (05.20)
Email: radosz@math.uni-karlsruhe.de

A differential equation is a relation between an unknown function (to be determined) and its derivatives. While for ordinary differential equations the unknown function depends on a single independent variable, it depends on several variables for partial differential equations.

A huge variety of processes in science and technology is described by partial differential equations, which therefore belong to the most important objects of investigation in Applied Mathematics.

The number of phenomena occurring in the context of partial differential equations, and the number of methods and techniques to investigate them, is by far too complex to be the content of a one semster course. The lecture course can therefore only be of an introductory type. Topics to be treated are e.g. the classical wave-, Poisson-, and heat equation, maximum principles, separation of variables, classification of quasilinear second-order equations. Strong emphasis will be put on many examples from physics and engineering.

The lecture course addresses students in their fifth semester (third year) or higher, with substantial knowledge in analysis (Analysis I-III) and linear algebra (Linear Algebra I-II). It is suitable for students of mathematics, and for students of other subjects who have strong mathematical interests.

As already mentioned, this lecture course can cover only a small portion of the overall topic of partial differential equations. Deeper knowledge can be acquired in further subsequent courses.


Written examination on Thursday, 16. February 2012,
time: 11:15-12:15
room: Hertz-Hörsaal


  1. R. Courant and D. Hilbert, Methods of Mathematical Physics, Volume I and II, Wiley Classics ed., 1989.
  2. L. C. Evans, Partial Differential Equations (Second Edition), American Mathematical Society, 2010.
  3. D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order (Second Edition), Springer, 1998.