Class Diary for M635, Fall 2019, Jochen Denzler
Wed Aug 21:
weak derivatives; motivation; definition.
Fri Aug 23:
Sobolev spaces W^{k,p}; their Banach space properties
Mon Aug 26:
density of smooth functions in W^{k,p}: interior, and up to the boundary (the
latter under a segment condition)
Wed Aug 28:
extension results: statement and discussion, proof idea
Fri Aug 30:
extension theorem proof ideas
Mon Sep 02:
LABOR DAY
Wed Sep 04:
Intro to Sobolev imbedding theorem.
Fri Sep 06:
Sobolev imbedding p< n proved
Mon Sep 09:
Sobolev imbedding for p > n started
Wed Sep 11:
... and finished. Dirichlet growth estimate. Arzela Ascoli reviewed.
Fri Sep 13:
Compact imbeddings; the trace map
Mon Sep 16:
Wed Sep 18:
Fri Sep 20:
Mon Sep 23:
Wed Sep 25:
Fri Sep 27:
Mon Sep 30:
Wed Oct 02:
Fri Oct 04:
Mon Oct 07:
Wed Oct 09:
Fri Oct 11:
Mon Oct 14:
Wed Oct 16:
Fri Oct 18:
FALL BREAK
Mon Oct 21:
Wed Oct 23:
Fri Oct 25:
Mon Oct 28:
Wed Oct 30:
Fri Nov 01:
Mon Nov 04:
Wed Nov 06:
Fri Nov 08:
Mon Nov 11:
Wed Nov 13:
Fri Nov 15:
Mon Nov 18:
Wed Nov 20:
Fri Nov 22:
Mon Nov 25:
Wed Nov 27:
pre-THANKSGIVING BREAK
Fri Nov 29:
THANKSGIVING BREAK
Mon Dec 02:
Wed Dec 04:
Thu Dec 05: STUDY DAY
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