Sumários
Boundary regularity
5 junho 2026, 14:30 • José António Maciel Natário
Boundary H^2 regularity for elliptic problems with L^2 right-hand side. Boundary higher regularity. Existence of classical solutions.
Interior regularity
2 junho 2026, 13:30 • José António Maciel Natário
Interior H^2 regularity for elliptic problems with L^2 right-hand side. Interior higher regularity. Existence of classical solutions.
Difference quotients
28 maio 2026, 09:30 • José António Maciel Natário
Difference quotients and difference gradient. Relation between the L^p norms of the difference gradient and the gradient of functions in W^{1,p}.
Lax-Milgram Theorem
26 maio 2026, 13:30 • José António Maciel Natário
Proof of the Lax-Milgram theorem. Applications to the existence and uniqueness of weak solutions for general elliptic problems.