Moduli of Continuity for Viscosity Solutions on Manifolds |
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| Authors: | Xiaolong Li Kui Wang |
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| Institution: | 1.Department of Mathematics,University of California, San Diego,La Jolla,USA;2.School of Mathematic Sciences,Soochow University,Suzhou,China |
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| Abstract: | We establish the estimates of modulus of continuity for viscosity solutions of nonlinear evolution equations on manifolds, extending previous work of Andrews and Clutterbuck for regular solutions on manifolds (Andrews and Clutterbuck in Anal PDE 6(5):1013–1024, 2013) and the first author’s recent work for viscosity solutions in Euclidean spaces (Li in Proc Am Math Soc 144(4):1717–1724, 2016). |
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