Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624007 | Journal of Mathematical Analysis and Applications | 2006 | 8 Pages |
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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Physical Sciences and Engineering
Mathematics
Analysis