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Viscosity Solutions for Doubly-Nonlinear Evolution Equations

By Luca Courte and Patrick Dondl
We extend the theory of viscosity solutions to treat scalar-valued doubly-nonlinear evolution equations. Such equations arise naturally in many mechanical models including a dry friction. After providing a suitable definition for discontinuous viscosity solutions in this setting, we show that Perron's construction is still available, i.e., we prove an existence... Show more
January 18, 2021
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Viscosity Solutions for Doubly-Nonlinear Evolution Equations
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