Results 101 to 110 of about 42,410 (200)

FIXED POINTS IN THE CONSTRUCTION OF A MINIMAX SOLUTION FOR A CLASS OF BOUNDARY VALUE PROBLEMS FOR HAMILTON–JACOBI EQUATIONS

open access: yesUral Mathematical Journal
This paper deals with analytical and numerical methods for constructing a minimax (generalized) solution to the Dirichlet problem for the Hamilton–Jacobi equation.
Pavel D. Lebedev, Alexander A. Uspenskii
doaj   +1 more source

Regularity theory for Hamilton–Jacobi equations

open access: yesJournal of Differential Equations, 2003
The author studies the regularity and stability under small perturbations of viscosity solutions of Hamilton-Jacobi equations \(H(P+D_x u, x)=\overline{H}(P),\) where \(H(p,x):\mathbb{R}^{2n}\rightarrow \mathbb{R}\) is a strictly convex smooth Hamiltonian (\(D^{2}_{vv} L(x,v)>\gamma >0\) uniformly and coercive in \(p, \lim_{|p|\rightarrow\infty} \frac ...
openaire   +2 more sources

Homogenization of pathwise Hamilton–Jacobi equations

open access: yesJournal de Mathématiques Pures et Appliquées, 2018
We present qualitative and quantitative homogenization results for pathwise Hamilton-Jacobi equations with "rough" multiplicative driving signals. When there is only one such signal and the Hamiltonian is convex, we show that the equation, as well as equations with smooth approximating paths, homogenize. In the multi-signal setting, we demonstrate that
openaire   +3 more sources

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