Hopf formula and multitime Hamilton-Jacobi equations
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- by P.-L. Lions and J.-C. Rochet
- Proc. Amer. Math. Soc. 96 (1986), 79-84
- DOI: https://doi.org/10.1090/S0002-9939-1986-0813815-5
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Abstract:
Problems arising in mathematical economics lead to the study of multi-time Hamilton-Jacobi equations. Using commutation properties of the semigroups for the standard equation, we propose a generalization of the Hopf formula that gives explicit solutions of these equations.References
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Bibliographic Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 96 (1986), 79-84
- MSC: Primary 35F99; Secondary 35L40, 90A16
- DOI: https://doi.org/10.1090/S0002-9939-1986-0813815-5
- MathSciNet review: 813815