Provides Lipschitz estimates for minimizers in time-dependent Herglotz problems, derives necessary conditions, and gives a representation formula for viscosity solutions of a time-dependent Hamilton-Jacobi equation.
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math.AP 2years
2019 2verdicts
UNVERDICTED 2representative citing papers
Representation formulas for viscosity solutions of contact-type Hamilton-Jacobi equations are obtained using the Herglotz variational principle.
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Herglotz' variational principle and Lax-Oleinik evolution
Provides Lipschitz estimates for minimizers in time-dependent Herglotz problems, derives necessary conditions, and gives a representation formula for viscosity solutions of a time-dependent Hamilton-Jacobi equation.
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Representation formulas for contact type Hamilton-Jacobi equations
Representation formulas for viscosity solutions of contact-type Hamilton-Jacobi equations are obtained using the Herglotz variational principle.