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Partial Differential Equations 1 Semester SoSe 2026
Lecturer Felix Finster
Type of course (Veranstaltungsart) Vorlesung
German title Partielle Differentialgleichungen 1
Contents The lecture is devoted to the basic techniques for the analysis of elliptic and parabolic partial differential equations. The following topic will be covered: maximum principles, potential theory, Sobolev spaces, Fourier transform, existence theory for weak solutions, regularity theory, Schauder theory.
Literature Gilbarg, D. und Trudinger, N., "Elliptic Partial Differential Equations of Second Order",
(2nd ed.), Springer (2001)
Evans, L.C., "Partial Differential Equations", Amer. Math. Soc. (2002)
Taylor, M., "Partial Differential Equations", Springer (1996)
Further literature will be given in the lecture
Time/Date Di, Mi 8-10
Location M101
Course homepage https://www.uni-regensburg.de/mathematik/mathematik-1/lehre/index.html (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)
Registration- Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)- Successful participation in the exercise classes:
Examination (Prüfungsleistungen)- Oral exam: Duration: 20 Minuten, Date: individuelle Termine, re-exam: Date:
Modules BV, MV, MAngAn
ECTS 9
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