A note on the regularity of solutions of Hamilton-Jacobi equations with superlinear growth in the gradient variable
Cardaliaguet, Pierre (2009), A note on the regularity of solutions of Hamilton-Jacobi equations with superlinear growth in the gradient variable, ESAIM. COCV, 15, 2, p. 367-376. http://dx.doi.org/10.1051/cocv:2008028
Type
Article accepté pour publication ou publiéExternal document link
http://arxiv.org/abs/0802.3153v1Date
2009Journal name
ESAIM. COCVVolume
15Number
2Publisher
EDP Sciences
Pages
367-376
Publication identifier
Metadata
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Cardaliaguet, PierreAbstract (EN)
We investigate the regularity of solutions of first order Hamilton-Jacobi equation with super linear growth in the gradient variable. We show that the solutions are locally Hölder continuous with Hölder exponent depending only on the growth of the Hamiltonian. The proof relies on a reverse Hölder inequality.Subjects / Keywords
Hamilton-Jacobi equation; viscosity solutions; optimal control; regularity; reverse Hölder inequalityRelated items
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