Viscosity solutions of stationary Hamilton-Jacobi equations and minimizers of $L^{\infty }$ functionals
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Publication:4592750
DOI10.1090/proc/13668zbMath1380.35051OpenAlexW2586353384MaRDI QIDQ4592750
Emmanuel Nicholas Barron, Robert R. Jensen, Marian F. Bocea
Publication date: 8 November 2017
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/proc/13668
Methods involving semicontinuity and convergence; relaxation (49J45) Convexity of real functions of several variables, generalizations (26B25) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)
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Cites Work
- Calculus of variations in \(L^ \infty\)
- Implicit partial differential equations
- Viscosity solutions of Hamilton-Jacobi equations
- Hopf-Lax-type formula for \(u_ t+ H(u, Du)=0\)
- Minimizers of non convex scalar functionals and viscosity solutions of Hamilton-Jacobi equations
- On viscosity solutions of Hamilton-Jacobi equations
- Duality methods for the study of Hamilton–Jacobi equations
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- Lower semicontinuity of \(L^\infty\) functionals.
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