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
scheda docente
materiale didattico
"Partial differential equations. Second edition", Lawrence C. Evans, Graduate Studies in Mathematics 19, American Mathematical Society
Fruizione: 20410757_2 AM410 - MODULO B - INTRODUZIONE ALLE EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 R ESPOSITO PIERPAOLO, BESSI UGO
Programma
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.Testi Adottati
"Analisi funzionale", H. Brézis, Liguori Editore"Partial differential equations. Second edition", Lawrence C. Evans, Graduate Studies in Mathematics 19, American Mathematical Society
Modalità Valutazione
Seminar on a topic to be agreed.Fruizione: 20410757_2 AM410 - MODULO B - INTRODUZIONE ALLE EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 R ESPOSITO PIERPAOLO, BESSI UGO
scheda docente
materiale didattico
"Partial differential equations. Second edition", Lawrence C. Evans, Graduate Studies in Mathematics 19, American Mathematical Society
Fruizione: 20410757_2 AM410 - MODULO B - INTRODUZIONE ALLE EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 R ESPOSITO PIERPAOLO, BESSI UGO
Programma
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.Testi Adottati
"Analisi funzionale", H. Brézis, Liguori Editore"Partial differential equations. Second edition", Lawrence C. Evans, Graduate Studies in Mathematics 19, American Mathematical Society
Modalità Valutazione
Seminar on a topic to be agreed.Fruizione: 20410757_2 AM410 - MODULO B - INTRODUZIONE ALLE EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 R ESPOSITO PIERPAOLO, BESSI UGO