20410759 - AM410 - MODULO B - - AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS

To acquire a good knowledge of general methods and basic techniques necessary to the study of classical and weak solutions for partial differential equations

Curriculum

teacher profile | teaching materials

Fruizione: 20410757_2 AM410 - MODULO B - INTRODUZIONE ALLE EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 ESPOSITO PIERPAOLO

Programme

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.

Core Documentation

"Analisi funzionale", H. Brézis, Liguori Editore
"Partial differential equations. Second edition", Lawrence C. Evans, Graduate Studies in Mathematics 19, American Mathematical Society

Type of delivery of the course

The course plans lectures. Attendance is not required but strongly suggested.

Type of evaluation

Seminar on a topic to be agreed.

teacher profile | teaching materials

Fruizione: 20410757_2 AM410 - MODULO B - INTRODUZIONE ALLE EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 ESPOSITO PIERPAOLO

Programme

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.

Core Documentation

"Analisi funzionale", H. Brézis, Liguori Editore
"Partial differential equations. Second edition", Lawrence C. Evans, Graduate Studies in Mathematics 19, American Mathematical Society

Type of delivery of the course

The course plans lectures. Attendance is not required but strongly suggested.

Type of evaluation

Seminar on a topic to be agreed.