$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications

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...

Finite Operator Calculus With Applications to Linear Recursions

Bounded H∞-calculus for Pseudodifferential Operators and Applications to the Dirichlet-neumann Operator

Operators of the form A = a(x,D) +K with a pseudodifferential symbol a(x, ξ) belonging to the Hörmander class Sm 1,δ, m > 0, 0 ≤ δ < 1, and certain perturbations K are shown to possess a bounded H∞-calculus in Besov-Triebel-Lizorkin and certain subspaces of Hölder spaces, provided a is suitably elliptic. Applications concern pseudodifferential operators with mildly regular symbols and operators...

On the Spectrum of the Stokes Operator

We prove Li–Yau-type lower bounds for the eigenvalues of the Stokes operator and give applications to the attractors of the Navier–Stokes equations.

Applications of the Situation Calculus to Formalizing Control and Strategic Information: the Prolog Cut Operator

We argue that the situation calculus is a natural formalism for representing and reasoning about control and strategic information. As a case study, in this paper we provide a situation calculus semantics for the Prolog cut operator, the central search control operator in Prolog. We show that our semantics is well-behaved when the programs are properly stratiied. We also show that according to ...