Browsing by Subject "Differential equations"
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Item Evolution equations for magnetic islands in a reversed field pinch(2001-08) Yu, Edmund Po-ning, 1972-; Fitzpatrick, Richard, 1963-Item Linear boundary value problems for ordinary differential equations and their associated difference equations(1927) Whyburn, William M. (William Marvin), 1901-1972; Ettlinger, H. J. (Hyman Joseph), 1889-Item Lyapunov exponents of many body systems(1995-05) Barnett, David Mallory; Not availableItem Properties of solutions of an infinite system of ordinary linear differential equations of the first order with auxiliary boundary conditions(1929) Reid, William T. (William Thomas), 1907 October 4-1977; Ettlinger, H. J. (Hyman Joseph), 1889-1986Item The double obstacle problem and the two membranes problem(2018-05) Duque, Luis Felipe; Caffarelli, Luis A.; Vasseur, Alexis; Arapostathis, Aristotle; Sirbu, MihaiIn the first part of this dissertation, we study the existence, regularity and the free boundary of the double obstacle problem in different formulations that involve linear, elliptic, parabolic and fully nonlinear equations. The second part focuses on the two membranes problem for fully nonlinear elliptic operators, here we prove the existence of solutions and then we prove the optimal regularity when the operators involved are the Pucci operators. Finally, we give an example that shows that no regularity for the free boundary is to be expected to hold in general.