401-3350-21L  Classical Theory of Elliptic Partial Differential Equations

SemesterSpring Semester 2021
LecturersJ. Serra
Periodicitynon-recurring course
Language of instructionEnglish
CommentNumber of participants limited to 12.


401-3350-21 SClassical Theory of Elliptic Partial Differential Equations2 hrs
Wed10:15-12:00CLA E 4 »
J. Serra

Catalogue data

AbstractFollowing the book "Elliptic Partial Differential Equations" of Qing Han and Fanhua Lin, the seminar will cover ---from an introductory perspective--- some important classical tools and results in the standard theory of Elliptic PDE
ObjectiveTo present some of the most useful classical tools and results in nonlinear Elliptic PDE (weak and viscosity solutions and their maximum principles, moving plane method, Bernstein's technique, De Giorgi-Nash-Moser Harnack Inequality, etc.)
Content(flexible depending on the background of the students)
-Review of harmonic functions
-Weak and viscosity solutions
-Maximum principles and barriers
-Moving plane method
-Bernstein's technique
-Schauder estimates (review)
-De Giorgi-Nash-Moser and Hölder continuity of gradients
LiteratureElliptic Partial Differential Equations: Second Edition
Qing Han and Fanghua Lin
Publication Year: 2011
ISBN-10: 0-8218-5313-9
ISBN-13: 978-0-8218-5313-9
Courant Lecture Notes, vol. 1.R
Prerequisites / NoticeAlthough many parts of the book are rather self-contained, it would be advisable to have followed before the bachelor course Functional Analysis II

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits4 credits
ExaminersJ. Serra
Typeungraded semester performance
Language of examinationEnglish
RepetitionRepetition only possible after re-enrolling for the course unit.

Learning materials

No public learning materials available.
Only public learning materials are listed.


No information on groups available.


PlacesLimited number of places. Special selection procedure.
Beginning of registration periodRegistration possible from 04.01.2021
PriorityRegistration for the course unit is only possible for the primary target group
Primary target groupMathematics BSc (404000) starting semester 06
Mathematics MSc (437000)
Applied Mathematics MSc (437100)
Waiting listuntil 01.03.2021
End of registration periodRegistration only possible until 19.02.2021

Offered in

Mathematics BachelorSeminarsWInformation
Mathematics MasterSeminarsWInformation