Twisted Lax–Oleinik formulas and weakly coupled systems of Hamilton–Jacobi equations

We compute the large-scale limit of the free energy by showing that it satisfies an approximate Hamilton-Jacobi equation with asymptotically vanishing viscosity parameter and

Commençons par affirmer que les vrais synonymes sont rares ; en effet, quelle serait l’uti- lité pour une langue de posséder deux mots qui ont exactement le même sens.. Ainsi, ce

It is known that, for a lower semicontinuous (for short l.s.c.) proper convex function f on a Hilbert space, its Moreau–Yosida regularization f ε is of class C 1 and converges to f as

Kedros Rouvas Large individuals with typical tree habit Intermediate individuals Small severely browsed individuals Levka Ori Psiloritis Dhikti Thripiti Fruiting individuals observed

For results concerning long time behaviour of solutions of Hamilton-Jacobi equations, one can for example refer to the papers [1] and [6], see also [2].. Remark 2 Notice that

In this work, we are interested in the large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations in the periodic setting.. First results have been

In this paper we study homogenization for a class of monotone systems of first-order time-dependent periodic Hamilton-Jacobi equations.. We characterize the Hamiltonians of the

If instead the cost changes in a continuous way along the edges and the dynamics is continuous in time, the minimum time problem can be seen as a continuous-state