All the generalized characteristics for the solution to a Hamilton–Jacobi equation with the initial data of the Takagi function

Author:

Fujita Yasuhiro,Hamamuki Nao,Yamaguchi Norikazu

Publisher

Springer Science and Business Media LLC

Reference11 articles.

1. Albano, P., Cannarsa, P., Sinestrari, C.: Generation of singularities from the initial datum for Hamilton–Jacobi equations. J. Differ. Equ. 268, 1412–1426 (2020)

2. Allaart, P., Kawamura, K.: The Takagi function: a survey. Real Anal. Exch. 37(12), 1–54 (2011/12)

3. Bardi, M., Capuzzo-Dolcetta, I.: Optimal Control and Viscosity Solutions of Hamilton–Jacobi–Bellman Equations, Reprint of the, 1997th edn. Birkhäuser, Boston (1997)

4. Cannarsa, P., Sinestrari, C.: Semiconcave functions, Hamilton-Jacobi equations, and optimal control, Progress in Nonlinear Differential Equations and their Applications, 58. Birkhäuser Boston Inc, Boston (2004)

5. Evans, L.C.: Partial Differential Equations. The Second Edition, Graduate Studies in Mathematics, 19. American Mathematical Society, Providence (2010)

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