Geodesic
A Survey of Hopf-Lax Formulas and Quasiconvexity in PDEs
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 3, pp. 237-245

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This is a short survey of recent results obtained by the author and collaborators primarily on Hopf-Lax formulas for Hamilton-Jacobi equations and obstacle problems. The initiation of the use of quasiconvex (i.e., level convex) functions in $L^\infty$ control and differential games led to such formulas and is briefly reviewed. Dedicated to the memory of Academician A. I. Subbotin.
Keywords: Hopf-Lax; viscosity solution; Hamilton-Jacobi; quasiconvex. 
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     author = {E. N. Barron},
     title = {A {Survey} of {Hopf-Lax} {Formulas} and {Quasiconvexity} in {PDEs}},
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E. N. Barron. A Survey of Hopf-Lax Formulas and Quasiconvexity in PDEs. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 3, pp. 237-245. http://geodesic.mathdoc.fr/item/TIMM_2021_27_3_a18/