5 papers
Failure of analytic hypoellipticity in a class of PDOs
O Costin, R D Costin
For the hypoelliptic differential operators introduced by T. Hoshiro, generalizing a class of M. Christ, in the cases of …
Existence and uniqueness for a class of nonlinear higher-order partial differential equations in the complex plane
O Costin, S Tanveer
We prove existence and uniqueness results for nonlinear third order partial differential equations of the form w…
Asymptotic properties of a family of solutions of the Painleve equation PVI
O Costin, R D Costin
In this paper we study the asymptotic behavior for large argument of a family of solutions of the Painlevé equation P$_{\rm VI} arising in the context of Random Matrix Theory [1].…
On the complete ionization of a periodically perturbed quantum system
O. Costin, J. L. Lebowitz, A. Rokhlenko
We analyze the time evolution of a one-dimensional quantum system with zero range potential under time periodic parametric perturbation of arbitrary strength and frequency. We show…
Ionization of a Model Atom: Exact Results and Connection with Experiment
Ovidiu Costin, Joel L. Lebowitz, Alexander Rokhlenko
We prove that a model atom having one bound state will be fully ionized by a time periodic potential of arbitrary strength and frequency . The survival probability is for sm…