We study a fractional stochastic perturbation of a first-order hyperbolic equation of nonlinear type. The existence and uniqueness of the solution are investigated via a Lax–Oleĭnik formula. To construct the invariant measure we use two main ingredients. The first one is the notion of a...

In this paper, under the assumption that the nonconvex vector valued function f satisfies some lower semicontinuity property and bounded below, the nonconvex vector valued function sequence f n satisfies the same lower semicontinuity property and uniformly bounded below, and f n converges to f...

In this paper, under the assumption that the nonconvex vector valued function f satisfies some lower semicontinuity property and bounded below, the nonconvex vector valued function sequence f <Subscript> n </Subscript> satisfies the same lower semicontinuity property and uniformly bounded below, and f <Subscript> n </Subscript> converges to...</subscript></subscript>