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On the uniqueness of solutions of spectral equations |
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| Authors: | Yousong Luo |
| Institution: | (1) School of Mathematical and Geospatial Sciences, RMIT University, GPO Box 2476V, Melbourne, VIC, 3001, Australia |
| Abstract: | We prove uniqueness of the viscosity solutions of the Dirichlet problem of the spectral equation ![$$F(u)=f(\lambdau])=\psi$$](/content/f6068q650730v3mv/10898_2007_9216_Article_IEq1.gif) where ![$$\lambdau]$$](/content/f6068q650730v3mv/10898_2007_9216_Article_IEq2.gif) is the vector whose components are eigenvalues of a matrix associated with the unknown function u. |
| Keywords: | Comparison principle Viscosity solution Curvature equation Hessian equation Spectral function |
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