Hopf-type estimates for solutions to Hamilton-Jacobi equations with concave-convex initial data
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Date
2003-05-21
Authors
Tho, Nguyen Huu
Van, Tran Duc
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We consider the Cauchy problem for the Hamilton-Jacobi equations with concave-convex initial data. A Hopf-type formula for global Lipschitz solutions and estimates for viscosity solutions of this problem are obtained using techniques of multifunctions and convex analysis.
Description
Keywords
Hamilton-Jacobi equations, Hopf-type formula, Global Lipschitz solutions, Viscosity solutions
Citation
Tho, N. H., & Van, T. D. (2003). Hopf-type estimates for solutions to Hamilton-Jacobi equations with concave-convex initial data. <i>Electronic Journal of Differential Equations, 2003</i>(59), pp. 1-11.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.