On Convex Type Constrained Problems of First Order and Some Applications

Speaker: Prof. Dr. Jose Francisco Rodrigues
Affiliation: University of Lisbon, Portugal
Organized by: FAU CAA-AvH, Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany)

Zoom meeting link
Meeting ID: 973 807 826 08 | PIN code: 673 007

Abstract. We revisit old and new results on solutions to some classes of unilateral type problems for linear and nonlinear partial differential equations of first-order:
1 — obstacle problems for transport operators
2 — first-order problems with gradient constraints
3 — an obstacle-mass constrained problem for a scalar conservation law
These problems are motivated from examples in polyphasic flow in porous media, in population models, in the transported sand piles problem and in superconductivity.