PIDE to PDE:

[am]

Carlo R. Laing, William C. Troy "PDE Methods for Nonlocal Models"
SIAM J. Applied Dynamical Systems, Vol. 2, No. 3, pp. 487-516, 2003
http://epubs.siam.org/sam-bin/dbq/article/60004
Carlo R. Laing, William C. Troy "Two-bump solutions of Amari-type models of
neuronal pattern formation", Physica D, vol. 178, 2003
http://www.massey.ac.nz/~crlaing/paprev.pdf
http://adsabs.harvard.edu/abs/2003PhyD..178..190L
Carlo Laing's Publications:
http://www.massey.ac.nz/~crlaing/pubs.htm

P.W. Bates, P.C. Fife, X.Ren, X.Wang "Traveling Waves in a Convolution Model for
Phase Transitions", Arch. Rational Mech. Anal. 138, pp.105-136, (1997)
http://www.math.usu.edu/~ren/pub/cnvltn.pdf
P.Fife's E-Prints and Reprints:
http://www.math.utah.edu/~fife/
A.Chmaj, X.Ren "Homoclinic Solutions of an Integral Equation: Existence and Stability",
J. of Differential Equations, 155, pp.17-43 (1999)
http://www.math.usu.edu/~ren/pub/mount.pdf
X.Ren's publications:
http://www.math.usu.edu/~ren/pub/
http://www.ima.umn.edu/~ren/publications.html