Plan of the lectures for the second part
Please note that the following plan is preliminary:
Lecture 8 (19/10): Sobolev spaces, part I. Sections 5.1-5.4 in Evans' book.
Lecture 9 (26/10): Sobolev spaces, part II. Sections 5.5-5.7 in Evans' book.
Lecture 10 (2/11): Second order elliptic equations. Sections 6.1-6.3 in Evans' book.
Lecture 11 (9/11): Second order elliptic equations. Sections 6.4-6.5 in Evans' book.
Lecture 12 (16/11): Linear evolution equations. Sections 7.1-7.2 in Evans' book.
Lecture 13 (23/12): Linear evolution equations. Sections 7.2-7.3 in Evans' book.
Lecture 14 (30/12): Selected topics concerning nonlinear PDEs. Part III in Evans' book.