A Generalized Osgood Condition for Viscosity Solutions to Fully Nonlinear Parabolic Degenerate Equations

Details A Generalized Osgood Condition for Viscosity Solutions to Fully Nonlinear Parabolic Degenerate Equations A Generalized Osgood Condition for Viscosity Solutions to Fully Nonlinear Parabolic Degenerate Equations

2001-09-28

arxiv.org/abs/math/0109224v1

Quaderno IAC (2000)

Mathematics

Analysis of PDEs

Scientific paper

Using a generalized assumption of Osgood type, we prove a comparison result between viscosity sub and supersolutions of fully nonlinear, possibly strongly degenerate, parabolic equations under rather generale assumtpions. The principle allows to consider dependence on the gradient witha quadratic growth and also on complex zeroth-order terms. The result it applies in particular to a differential model for pricing Mortgage-Backed Securities.

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