Derived from
|
20410757_2 AM410 - MODULE B - AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS in Mathematics LM-40 ESPOSITO PIERPAOLO
(syllabus)
Definition and basic properties of the Sobolev spaces W^{1,p} (Ω). Extension operators. Sobolev inequalities. The space W^{1,p}_0 (Ω). Variational formulation of some elliptic boundary value problems. Existence of weak solutions. Regularity of weak solutions.
(reference books)
"Analisi funzionale", H. Brézis, Liguori Editore "Partial differential equations. Second edition", Lawrence C. Evans, Graduate Studies in Mathematics 19, American Mathematical Society
|