212 citations · 848 across the 74 of their papers we have counts for
4 papers · 1 filter
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 formation of singularities of solutions of nonlinear differential systems in antistokes directions
O. Costin, R. D. Costin
We determine the position and the type of spontaneous singularities of solutions of generic analytic nonlinear differential systems in the complex plane, arising along antistokes d…