This website was created to accompany the course "Linear differential operators in mathematical physics" given by Alexander Movchan from the Department of Mathematical Sciences, University of Liverpool, as part of the MAGIC project. MAGIC runs a wide range of postgraduate-level lecture courses in mathematics, using Access Grid videoconferencing technology. Topics covered in this course include: generalised derivatives; Sobolev spaces; Laplace's equation; generalised solutions of differential equations; singular solutions; the variational method; weak solutions; the energy space; Green's formula; the heat conduction equation; the maximum principle; the uniqueness theorem; wave propagation; and the characteristic cone. All the materials are available as PDF files (Adobe Acrobat Reader required).
http://www.maths.dept.shef.ac.uk/magic/course.php?id=18
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