The cutoff phenomenon for the stochastic heat and wave equation subject to small Lévy noise

the search for the self in becketts theatre: waiting for godot and endgame

this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...

the evaluation and comparison of two esp textbooks available on the iranian market for teaching english to the students of medicine

abstract this study evaluated and compared medical terminology and english for the students of medicine (ii) as two representatives of the textbooks available on the iranian market for teaching english to the students of medicine. this research was performed on the basis of a teacher’s and a number of students’ attitudes and the students’ needs analysis for two reasons: first, to investigate...

Stochastic heat equation with white-noise drift

Small Ball Asymptotics for the Stochastic Wave Equation

We examine the small ball asymptotics for the weak solution X of the stochastic wave equation ∂X ∂t (t, x)− ∂ X ∂x (t, x) = g(X(t, x)) + f(t, x)dW (t, x) on the real line with deterministic initial conditions.

Applications of Cutoff Resolvent Estimates to the Wave Equation

We consider solutions to the linear wave equation on non-compact Riemannian manifolds without boundary when the geodesic flow admits a filamentary hyperbolic trapped set. We obtain a polynomial rate of local energy decay with exponent depending only on the dimension.