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