Publications

 

J. Gemmer, G. Moon, and S. Raynor, "Solutions to a Two-Dimensional, Neumann Free Boundary Problem,," submitted.

T. Luo and S. Raynor, "Modeling Traffic with Human Variation,," submitted.

B. Pigott and S. Raynor, "Asymptotic Stability for KdV Solitons in Weighted Hs Spaces,," Comm. Pure Appl. Anal. 16 (2017), 393-416.

J. Marzuola, S. Raynor, and G. Simpson, "Nonlinear Bound States in a Schrodinger-Poisson System with External Potential,' SIAM J. on Appl. Dyn. Systs., 16 (2017) 226-251.

B. Pigott and S. Raynor, "Asymptotic Stability for KdV Solitons in Weighted Spaces via Iteration," Illinois J. of Math., 58 (2014), 443-470.

P. Moon, et. al., "Fractal Images Produce Fractal Pupillary Dilations," Int. J. of Psychophysiology, 93 (2014) 316-321.

J. Marzuola, S. Raynor, and G. Simpson, "Dynamics near the Minimal Mass Soliton for the Korteweg-deVries Equation," Dyn. Syst., 29 (2014) 285-299.

M. Chhetri, S. Raynor, and S. Robinson, "On the Existence of Multiple Positive Solutions to Some Superlinear Systems," Proc. Roy. Soc. Edinburgh Sect. A, 142 (2012), 39-59.

J. Marzuola, S. Raynor, and G. Simpson, "A System of ODEs for a Perturbation of a Minimal Mass Soliton," J. Nonlinear Sci., 20 (2010) 425-461.

S. Raynor, "Neumann Fixed Boundary Regularity for an Elliptic Free Boundary Problem," Comm. Partial Differential Equations, 33 (2008),no. 11, 1975 - 1995.

M. Chhetri, P. Drabek, S. Raynor, and S. Robinson, "Nonvariational Problems with Critical Growth," Nonlinear Anal. 68 (2008), no. 7, 2092-2103.

J. Colliander, S. Raynor, C. Sulem, and J. D. Wright, "Ground State Mass Concentration in the L^2-Critical Nonlinear Schrodinger Equation Below H^1," Math. Res. Lett. 12 (2005), no. 2-3, 357--375.

S. Raynor and G. Staffilani, "Low regularity stability of solitons for the KdV equation," Commun. Pure Appl. Anal. 2 (2003), no. 3, 277--296.


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