A maximum principle for evolution Hamilton-Jacobi equations on Riemannian manifolds |
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| Authors: | Daniel Azagra Juan Ferrera |
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| Affiliation: | Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain |
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| Abstract: | We establish a maximum principle for viscosity subsolutions and supersolutions of equations of the form ut+F(t,dxu)=0, u(0,x)=u0(x), where  is a bounded uniformly continuous function, M is a Riemannian manifold, and  . This yields uniqueness of the viscosity solutions of such Hamilton-Jacobi equations. |
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| Keywords: | Hamilton-Jacobi equations Viscosity solutions Riemannian manifolds |
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