3 citations · 4 across the 3 of their papers we have counts for
4 papers
Tronquée Solutions of the Third and Fourth Painlevé Equations
Xiaoyue Xia
Recently in a paper by Lin, Dai and Tibboel, it was shown that the third and fourth Painlevé equations have tronquée and tritronquée solutions. We obtain global information about t…
A Proof for the Mode Stability of a Self-similar Wave Map
Ovidiu Costin, Roland Donninger, Xiaoyue Xia
We study the fundamental self-similar solution to the SU(2) sigma model, found by Shatah and Turok-Spergel. We give a rigorous proof for its mode stability. Based on earlier result…
From Taylor series of analytic functions to their global analysis
Ovidiu Costin, Xiaoyue Xia
We analyze the conditions on the Taylor coefficients of an analytic function to admit global analytic continuation, complementing a recent paper of Breuer and Simon on general cond…
Global reconstruction of analytic functions from local expansions
O. Costin, X. Xia
A new summation method is introduced to convert a relatively wide family of infinite sums and local expansions into integrals. The integral representations yield global information…