PT EN

Partial Differential Equations

Program

A crash course on Sobolev spaces. Second order linear elliptic equations (existence of weak solutions; regularity in the interior and up to the boundary; maximum principles; Harnack inequality; De Giorgi-Nash-Moser theory). Second order linear parabolic equations (existence via Galerkin method; regularity theory and maximum principles). The Calculus of Variations (Euler-Lagrange equation; existence of minimizers; regularity; unilateral constraints: variational inequalities and free boundary problems). Nonvariational techniques (monotonicity and fixed point methods). Degenerate and singular PDEs (the p-Laplace equation; intrinsic scaling; the infinity Laplacian).


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Research and Events

Events

  • Truncated boolean representable simplicial complexes
    Pedro V. Silva (UP)
    14:30, Room 2.5, UC Math. Dept.
    (Seminar)
    December 12, 2018
  • Superalgebras with superinvolution
    Herlisvaldo Costa Santos (student)
    14:00, Room 2.5, UC Math. Dept.
    (Seminar)
    December 12, 2018
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Defended Theses

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