Browsing by Subject "Regularity for viscosity solutions"

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    Regularity of a segregation problem with an optimal control operator
    (2013-08) Soares Quitalo, Veronica Rita Antunes de; Caffarelli, Luis A.; Gomes, Diogo Aguiar
    It is the main goal of this thesis to study the regularity of solutions for a nonlinear elliptic system coming from population segregation, and the free boundary problem that is obtained in the limit as the competition parameter goes to infinity [mathematical symbol]. The main results are existence and Hölder regularity of solutions of the elliptic system, characterization of the limit as a free boundary problem, and Lipschitz regularity at the boundary for the limiting problem.