### Impacto

Azagra Rueda, Daniel and Ferrera Cuesta, Juan and López-Mesas Colomina, Fernando
(2006)
*A maximum principle for evolution Hamilton-Jacobi equations on Riemannian manifolds.*
Journal of Mathematical Analysis and Applications, 323
(1).
pp. 473-480.
ISSN 0022-247X

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Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X05010309

## Abstract

We establish a maximum principle for viscosity subsolutions and supersolutions of equations of the form u(t) + F(t, d(x)u) = 0, u(0, x) = u(0)(x), where u(0): M -> R is a bounded uniformly continuous function, M is a Riemannian manifold, and F: [0, infinity) x T*M -> R. This yields uniqueness of the viscosity solutions of such Hamilton-Jacobi equations.

Item Type: | Article |
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Uncontrolled Keywords: | Infinite dimensions; Nonsmooth analysis; Hamilton-Jacobi equations; viscosity solutions; Riemannian manifolds |

Subjects: | Sciences > Mathematics > Differential geometry Sciences > Mathematics > Differential equations |

ID Code: | 14772 |

Deposited On: | 17 Apr 2012 11:50 |

Last Modified: | 06 Feb 2014 10:08 |

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