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A generalized Osgood condition for viscosity solutions to fully nonlinear parabolic degenerate equations - MaRDI portal

A generalized Osgood condition for viscosity solutions to fully nonlinear parabolic degenerate equations (Q1405971)

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A generalized Osgood condition for viscosity solutions to fully nonlinear parabolic degenerate equations
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    A generalized Osgood condition for viscosity solutions to fully nonlinear parabolic degenerate equations (English)
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    17 March 2004
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    Using a generalized assumption of Osgood type, the author proves a comparison result for viscosity sub- and supersolutions of fully nonlinear, possibly degenerate, parabolic equations. This result allows to deal with Hamiltonian functions with a quadratic growth in the spatial gradient, under special compatibility conditions with the diffusive terms.
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    sub- and supersolutions
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