William R. Green

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Education

Employment

Publications

  1. (with M.B. Erdogan) "Dispersive estimates for the Schrodinger equation for C(n-3)/2 potentials in odd dimensions", International Mathematics Research Notices 2010:13, 2532--2565.
  2. "Dispersive estimates for the matrix and scalar Schrodinger equation in dimension five", Illinois J. Math. Volume 56, Number 2 (2012), 307-341.
  3. "Abel's theorem simplifies reduction of order." College Mathematics Journal, Vol. 42, No. 5, November 2011 , pp. 399-402.
  4. "Using Abel's theorem to explain repeated roots of the characteristic equation", CODEE Journal, July 2011. URL http://www.codee.org/ref/CJ11-0679
  5. (with M.B. Erdogan) "Dispersive estimates for two-dimensional Schrodinger operators with obstructions at zero energy." Trans. Amer. Math. Soc. 365 (2013), 6403-6440.
  6. (with H. Dwyer) "Integrating factors and repeated roots of the characteristic equation." CODEE Journal, January 2012. URL http://www.codee.org/ref/CJ12-0930.
  7. (with M.B. Erdogan) "A weighted dispersive estimates for Schrodinger operators in dimension two." Comm. Math. Phys. 319 (2013), 791--811.
  8. (with M.B. Erdogan) "Dispersive estimates for matrix Schrodinger operators in dimension two." DCDS-A. Pages: 4473 - 4495, Volume 33, Issue 10, October 2013
  9. (with D. Hundertmark) "Exponential decay for dispersion managed solitons for general dispersion profiles." submitted 2014.
  10. "Time decay estimates for the wave equation with potential in dimension two," Journal of Differential Equations 257 (2014) pp. 868-919.
  11. (with M.B. Erdogan and M.J. Goldberg) "Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy." Comm. PDE 39 (2014), no. 10, 1936-1964.
  12. (with M.J. Goldberg) "Dispersive Estimates for higher dimensional Schrödinger Operators with threshold eigenvalues I: The odd dimensional case." Submitted 2014, 47 pp.
  13. (with M.J. Goldberg) "Dispersive Estimates for higher dimensional Schrödinger Operators with threshold eigenvalues II: The even dimensional case." Submitted 2014, 48 pp.

Talks Given

Teaching Experience

Eastern Illinois University

University of Illinois

Awards and Honors

Eastern Illinois University

University of Illinois Albion College

Professional Service

Eastern Illinois University

University of Illinois

Professional Memberships





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