Istituzioni di Analisi Superiore (II modulo)

Program:

• Sobolev spaces. Approximation with smooth functions. Computation rules. Sobolev embedding theorem. Rellich theorem.
• Second order elliptic equations in divergence form. Weak formulation and Fredholm alternative. Regularity theorems.

References:

• M. Degiovanni, Istituzioni di analisi superiore, II modulo, Dispense del corso.
• H. Brezis, Analisi funzionale - Teoria e applicazioni, Liguori, Napoli 1986.
• D. Gilbarg, N. S. Trudinger, Elliptic partial differential equations of second order, Grundlheren der Mathematischen Wissenschaften, 224, Springer-Verlag, Berlin-New York 1977.

Ricevimento: