Singular limits for models of selection and mutations with heavy-tailed mutation distribution

The only previous results on passage time moments that we know of are due to Doney [3] in the case of a zero-drift, spatially homogeneous random walk, and a sub- set of the

Within the integro-differential framework, an approach based on Hamilton-Jacobi equations with constraint has been developed during the last decade to study asymptotically, in the

Dans cette note, on discute une classe d’´ equations de Hamilton-Jacobi d´ ependant du temps, et d’une fonction inconnue du temps choisie pour que le maximum de la solution de

Key-Words: Hamilton-Jacobi equation with constraint, uniqueness, constructive existence result, selection-mutation models..

The solution to (19) cannot be calculated analytically, so an accurate approximation to the true solution was obtained by using both a very small step size and

of the solution in term of the semigroup 8(t) is given for the homogeneous equation and it is proved the existence and uniqueness of a weak solution in the class

For general two-person zero-sum differential games with (both players having) unbounded controls, under some mild coercivity conditions, the upper and lower Hamiltonians H ± (t, x,

Using a notion of viscosity solution that slightly differs from the original one of Crandall and Lions (but is, we believe, easier to handle in the framework of equations with memory)