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math.AP2018
Existence and Uniqueness of Solutions for Coupled Hybrid Systems of Differential Equations
Marta Menci, Marco Papi
In this paper we propose local and global existence results for the solution of systems characterized by the coupling of ODEs and PDEs. The coexistence of distinct mathematical for…
math.AP2001
Regularity Results for a class of Semilinear Parabolic Degenerate Equations and Applications
M. Papi
We consider a possibly strongly degenerate parabolic semilinear problem which can be applied to a differential model for pricing financial derivatives. We prove the asked regularit…
math.AP2001★ 1 cited
A Generalized Osgood Condition for Viscosity Solutions to Fully Nonlinear Parabolic Degenerate Equations
M. Papi
Using a generalized assumption of Osgood type, we prove a comparison result between viscosity sub and supersolutions of fully nonlinear, possibly strongly degenerate, parabolic equ…