ΜΔΕ- Θεωρία Ασθενών Λύσεων


  Εαρινό εξάμηνο  2013-14


Βασικό βιβλίο αναφοράς:

Evans, Lawrence C.    Partial differential equations. Second edition. Graduate Studies in Mathematics, 19.
American Mathematical Society, Providence, RI,
2010. xxii+749 pp. ISBN: 978-0-8218-4974-3

Κεφάλαια 5,6,7.

Βοηθητικά Βιβλία:

Brezis, Haim Functional analysis, Sobolev spaces and partial differential equations.
Universitext. Springer, New York, 2011. xiv+599 pp. ISBN: 978-0-387-70913-0


Maz'ya, Vladimir Sobolev spaces with applications to elliptic partial differential equations. Second, revised and augmented edition. Fundamental Principles of Mathematical Sciences, 342. Springer, Heidelberg, 2011. xxviii+866 pp. ISBN: 978-3-642-15563-5

Leoni, Giovanni A first course in Sobolev spaces. Graduate Studies in Mathematics, 105.
American Mathematical Society, Providence, RI,
2009. xvi+607 pp. ISBN: 978-0-8218-4768-8

Gilbarg, David; Trudinger, Neil S. Elliptic partial differential equations of second order. Reprint of the 1998 edition.
Classics in Mathematics. Springer-Verlag, Berlin, 2001. xiv+517 pp. ISBN: 3-540-41160-7


Lieberman, Gary M. Second order parabolic differential equations.
World Scientific Publishing Co., Inc., River Edge, NJ,
1996. xii+439 pp. ISBN: 981-02-2883-X

Han, Qing; Lin, Fanghua Elliptic partial differential equations. Second edition. Courant Lecture Notes in Mathematics, 1.
 American Mathematical Society, Providence, RI,
2011. x+147 pp. ISBN: 978-0-8218-5313-9