MA8105 Nonlinear Partial Differential Equations and Sobolev Spaces
Spring 2017
Welcome to MA8105 !
Messages
09.05.  Corrections  Small correction to the interpolation inequality in problem E2, week 14, and the solutions. Holden chp. 2.2 is NOT part to the curriculum. 
25.04.  Exam  Dates, form, schedule and rooms determined  see 'General information' in the left menu. 
Office hours  OBS OBS: I will not be available for questions in the period 17.05.  28.5. !! Schedule  see 'General information' in the left menu. 

Final curriculum  Available  see 'General information' in the left menu. 

Last lecture  Today 

Div  Lecture blog updated, scan of my lecture note posted, no exercises on application part (FDM for PME). 

07.04.  Tuesday after Easter 17.04.  No lecture. 
Div info  This weeks exercises are available (see 'Lectures' in left menu). OBS: I have updated the last problem and the discussion of the dual norm, both on the wiki and in my lecture note. Lecture blog updated. Fredrik Hildrum volunteered to do this weeks problems. Solutions to last weeks problems are now available (by Fredrik Høeg). 

12.01.  Log updated  Please check if you did not come to the lecture, I am deviating from original plan. 
Exercises  The students agreed to take turn writing solutions of part of the problem set. You can send me a PDF file, e.g. compiled tex or scanned handwritten. If you send me tex, please send me both TEX and PDF files. This time Fredrik will write solutions to E1  E4 (E2 is very easy) 

10.01.  Lectures  Tuesday….. 08:1510:00 … in room 656 (SB2) Thursday… 14:1516:00 … in room 734 (SB2) 
First lecture  Thursday 12.01. 

Lecture note  Holden: Tools from the toolbox. Functional Analysis for Partial Differential Equations. 

Lecture plan/log  See 'Lectures' in the left menu. 

03.01.  Info meeting Tuesday 10/01, 15:1516:00 Room 734, SB2  If you are interested in this course, you should participate:  Outline of course.  Determine lecture times.  Register for course email list (compulsory).  Can not attend? Send me an email with your preferred lecture times. 
 What is this course about?
 Mathematical methods and structures that are fundamental for the study of partial differential equations (PDEs), variational calculus, numerical methods etc.
 Main focus on analytical tools: Functional analysis, compactness methods, different modes of convergence, theory of distributions, \(L^p\) and Sobolov spaces, error estimates.
 13 weeks on applications to linear and nonlinear PDEs.
 Who can take this course?
 Interested students at Master or PhD level.
 The level should be suitable for good 4th year students in the industrial mathematics program.
 It can be taken as a regular course or a 'fordypningsemne'.
 Very relevant for students specialising in PDEs, optimization, analysis, numerical analysis, or probability.
 Prerequisites:
 Elementary functional analysis, equivalent to TMA4145 Linear Methods.
 Some real analysis (Lebesgue integration theory).
 It is advantageous, but not necessary, to have some background in partial differential equations.
<schedule>
<daytitles>Mon  Tue  Wed  Thur  Fri </daytitles> <timeslots> 08:15  09:00  09:15  10:00  10:15  11:00  11:15  12:00  12:15  13:00  13:15  14:00  14:15  15:00 15:15  16:00 </timeslots> <entry day:Tu start:0 end:1 color:innsida2>Lecture\\ Room 656 (Simastuen)</entry> <entry day:Th start:6 end:7 color:innsida2>Lecture\\ Room 734</entry>
</schedule>