A note on the regularity of solutions of Hamilton-Jacobi equations with superlinear growth in the gradient variable

ESAIM - Control, Optimisation and Calculus of Variations

Volumn 15, Issue 2, 2009, Pages 367-376

  Cardaliaguet, Pierre ^a  

^a UNIVERSITÉ DE BRETAGNE OCCIDENTALE   (France)

Author keywords

Hamilton Jacobi equation; Optimal control; Regularity; Reverse H lder inequality; Viscosity solutions

Indexed keywords

CONTROL ENGINEERING; OPTIMIZATION;

FIRST ORDER; HAMILTON - JACOBI EQUATIONS; LINEAR GROWTH; OPTIMAL CONTROLS; REGULARITY; REGULARITY OF SOLUTIONS; SUPERLINEAR GROWTH; VISCOSITY SOLUTIONS;

MECHANICS;

EID: 65349116736     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv:2008028     Document Type: Article

References (7)

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5. p-integrability of the partial derivatives of a quasiconformal mapping. Acta Math. 130 (1973) 265-277.
6. P.-L. Lions, Regularizing effects for first-order Hamilton-Jacobi equations. Applicable Anal. 20 (1985) 283-307.
7. F. Rampazzo and C. Sartori, Hamilton-Jacobi-Bellman equations with fast gradient-dependence. Indiana Univ. Math. J. 49 (2000) 1043-1077.