Ovidiu Costin

Rigorous WKB for finite-order linear recurrence relations with smooth coefficients

The

Resonance Theory for Schrödinger Operators

\epsilon \to 0

Evolution of a Model Quantum System Under Time Periodic Forcing: Conditions for Complete Ionization

behavior of recurrence relations of the type

Existence and Uniqueness for a Class of Nonlinear Higher-Order Partial Differential Equations in the Complex Plane

\sum\nolimits_{j = 0}^l {a_j (k\epsilon ,\epsilon )y_{k + j} = 0}

On the spectral properties of L± in three dimensions

,

IONIZATION IN A 1-DIMENSIONAL DIPOLE MODEL

k \in {\bf Z}

Time Asymptotics of the Schrödinger Wave Function in Time-Periodic Potentials

(l fixed) is studied. The

Decay versus survival of a localized state subjected to harmonic forcing: exact results

a_j

Short Time Existence and Borel Summability in the Navier–Stokes Equation in ℝ3

are

SINGULAR NORMAL FORM FOR THE PAINLEVE EQUATION P1

C^\infty