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 |
|---|---|
| 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 13:50 |
| Last Modified: | 25 Apr 2012 14:18 |
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