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SUMMARY:PILLAR Course: Partial Differential Equations
DTSTART;VALUE=DATE-TIME:20261102T130000Z
DTEND;VALUE=DATE-TIME:20270212T111500Z
DTSTAMP;VALUE=DATE-TIME:20261106T142900Z
UID:indico-event-986@indico.gssi.it
DESCRIPTION:LecturersLuigi De Rosa luigi.derosa@gssi.itEris Runa eris.runa
 @gssi.itTimetable and workloadLectures: 60 hoursCalendar: available at thi
 s linkCourse contentThe course will mainly follow the presentation from th
 e book [Partial Differential Equations - L. C. Evans]. Introduction to PD
 Es and classification\; method of characteristics\; harmonic maps and seco
 nd order linear elliptic equations\; second order linear parabolic equatio
 ns and heat equation\; second order linear hyperbolic equations\; wave equ
 ation\; variational approach\; nonlinear PDEs\; weak convergence methods\;
  weak lower semicontinuity and applications.Course requirementsSome good k
 nowledge of calculus and basic functional analysis are required. Theory of
  Banach spaces\; linear bounded operators\; dual spaces\; weak topology\; 
 basic measure theory and Lebesgue integration\; L^p spaces\; compactness\;
  theory of distributions\; weak derivatives\; approximation by smooth func
 tions\; Fourier transform. Familiarity with Sobolev spaces is highly recom
 mended.ReferencesL. C. Evans "Partial Differential Equations"Examination a
 nd gradingWritten and oral exam. \n\nhttps://indico.gssi.it/event/986/
LOCATION:Ex-INPS building (GSSI)
URL:https://indico.gssi.it/event/986/
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