Hamilton-Jacobi flows with nowhere differentiable initial data

DOI10.1007/s00208-021-02353-wOpenAlexW4213243349MaRDI QIDQ2696232

Norikazu Yamaguchi, Yasuhiro Fujita, Antonio Siconolfi

Publication date: 11 April 2023

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-021-02353-w

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Functions of one variable (26A99)

Related Items (1)

On global extrema of power Takagi functions

Cites Work

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• The Takagi function: a survey
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• A self-affine property of evolutional type appearing in a Hamilton-Jacobi flow starting from the Takagi function
• A class of nowhere differentiable functions satisfying some concavity-type estimate
• All the generalized characteristics for the solution to a Hamilton-Jacobi equation with the initial data of the Takagi function
• Some inverse problems in periodic homogenization of Hamilton-Jacobi equations
• Asymptotic Solutions of Hamilton–Jacobi Equations with Semi-Periodic Hamiltonians
• The Takagi Function and Its Properties
• The Inverse Problem for Hamilton--Jacobi Equations and Semiconcave Envelopes
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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