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- W3084724200 abstract "In quantitative genetics, viscosity solutions of Hamilton–Jacobi equations appear naturally in the asymptotic limit of selection-mutation models when the population variance vanishes. They have to be solved together with an unknown function I(t) that arises as the counterpart of a non-negativity constraint on the solution at each time. Although the uniqueness of viscosity solutions is known for many variants of Hamilton–Jacobi equations, the uniqueness for this particular type of constrained problem was not resolved, except in a few particular cases. Here, we provide a general answer to the uniqueness problem, based on three main assumptions: convexity of the Hamiltonian function H(I, x, p) with respect to p, monotonicity of H with respect to I, and BV regularity of I(t)." @default.
- W3084724200 created "2020-09-21" @default.
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- W3084724200 date "2020-09-11" @default.
- W3084724200 modified "2023-10-14" @default.
- W3084724200 title "Uniqueness of the viscosity solution of a constrained Hamilton–Jacobi equation" @default.
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- W3084724200 doi "https://doi.org/10.1007/s00526-020-01819-0" @default.
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