Articles in Scholarly Journals [Incomplete List]

1. Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal
   Journal of Mathematical Analysis and Applications, vol. 332, no. 1, pp. 428–440, 2007
2. On a nonlocal phase-field system
   Nonlinear Analysis, vol. 64, no. 10, pp. 2251–2278, 2006
3. Spectral analysis of traveling waves for nonlocal evolution equations
   SIAM Journal on Mathematical Analysis, vol. 38, no. 1, p. 116, 2006
4. Stochastics and Dynamics, vol. 6, no. 1, p. 1, 2006
5. The Neumann boundary problem for a nonlocal Cahn?Hilliard equation
   Journal of Differential Equations, vol. 212, no. 2, pp. 235–277, 2005
6. The Dirichlet boundary problem for a nonlocal Cahn–Hilliard equation
   Journal of Mathematical Analysis and Applications, vol. 311, no. 1, pp. 289–312, 2005
7. Heteroclinic solutions of a van der Waals model with indefinite nonlocal interactions
   Calculus of Variations and Partial Differential Equations, vol. 24, no. 3, pp. 261–281, 2005
8. Traveling Waves of Bistable Dynamics on a Lattice
   SIAM Journal on Mathematical Analysis, vol. 35, no. 2, p. 520, 2003
9. Existence and instability of spike layer solutions to singular perturbation problems
   Journal of Functional Analysis, vol. 196, no. 2, pp. 211–264, 2002
10. Spectral analysis and multidimensional stability of traveling waves for nonlocal Allen–Cahn equation
    Journal of Mathematical Analysis and Applications, vol. 273, no. 1, pp. 45–57, 2002
11. International Journal of Bifurcation and Chaos [in Applied Sciences and Engineering], vol. 11, no. 1, p. 143, 2001
12. Transactions of the American Mathematical Society, vol. 352, no. 10, pp. 4641–4677, 2000
13. Equilibria with Many Nuclei for the Cahn–Hilliard Equation
    Journal of Differential Equations, vol. 160, no. 2, pp. 283–356, 2000
14. Persistence of overflowing manifolds for semiflow
    Communications on Pure and Applied Mathematics, vol. 52, no. 8, pp. 983–1046, 1999
15. Persistence of overflowing manifolds for semiflow
    Communications on Pure and Applied Mathematics, vol. 52, no. 8, pp. 983–1046, 1999
16. A Discrete Convolution Model¶for Phase Transitions
    Archive for Rational Mechanics and Analysis, vol. 150, no. 4, pp. 281–368, 1999
17. Transactions of the American Mathematical Society, vol. 351, no. 07, pp. 2777–2806, 1999
18. Journal of Statistical Physics, vol. 95, no. 5/6, pp. 1119–1139, 1999
19. Existence of global solution for a differential system with initial data in Lp
    International Journal of Mathematics and Mathematical Sciences, vol. 22, no. 4, pp. 823–834, 1999
20. The Existence of Travelling Wave Solutions of a Generalized Phase-Field Model
    SIAM Journal on Mathematical Analysis, vol. 28, no. 1, p. 60, 1997
21. Phase field models for hypercooled solidification
    Physica D: Nonlinear Phenomena, vol. 104, no. 1, pp. 1–31, 1997
22. Traveling Waves in a Convolution Model for Phase Transitions
    Archive for Rational Mechanics and Analysis, vol. 138, no. 2, pp. 105–136, 1997
23. Transition layer solutions of a higher order equation in an infinite tube
    Communications in Partial Differential Equations, vol. 21, no. 1, pp. 109–145, 1996
24. Metastable Patterns for the Cahn-Hilliard Equation: Part II. Layer Dynamics and Slow Invariant Manifold
    Journal of Differential Equations, vol. 117, no. 1, pp. 165–216, 1995
25. A Hartman-Grobman theorem for the Cahn-Hilliard and phase-field equations
    Journal of Dynamics and Differential Equations, vol. 6, no. 1, pp. 101–145, 1994
26. Metastable Patterns for the Cahn-Hilliard Equation, Part I
    Journal of Differential Equations, vol. 111, no. 2, pp. 421–457, 1994
27. Convergence of the Cahn-Hilliard equation to the Hele-Shaw model
    Archive for Rational Mechanics and Analysis, vol. 128, no. 2, pp. 165–205, 1994
28. SIAM Journal on Applied Mathematics, vol. 53, no. 4, Article ID 0153049, 1993
29. Solutions to the Nonautonomous Bistable Equation with Specified Morse Index. Part I: Existence
    Transactions of the American Mathematical Society, vol. 340, no. 2, p. 641, 1993
30. Inertial manifolds and inertial sets for the phase-field equations
    Journal of Dynamics and Differential Equations, vol. 4, no. 2, pp. 375–398, 1992
31. Slow motion for the Cahn-Hilliard equation in one space dimension
    Journal of Differential Equations, vol. 90, no. 1, pp. 81–135, 1991
32. Spectral comparison principles for the Cahn-Hilliard and phase-field equations, and time scales for coarsening
    Physica D: Nonlinear Phenomena, vol. 43, no. 2-3, pp. 335–348, 1990
33. Stabilization of solutions for a class of degenerate equations in divergence form in one space dimension
    Journal of Differential Equations, vol. 73, no. 2, pp. 363–393, 1988
34. Estimates for the eigenvalues of the Jordan product of Hermitian matrices Nicholas D. Alikakos and Peter W. Bates, linear algebra appl. 57:41–56 (1984)
    Linear Algebra and its Applications, vol. 65, no. 1-3, p. 282, 1985
35. Convergence to equilibrium in a reaction-diffusion system
    Nonlinear Analysis, vol. 8, no. 3, pp. 227–235, 1984
36. Estimates for the eigenvalues of the Jordan product of Hermitian matrices
    Linear Algebra and its Applications, vol. 57, no. 1, pp. 41–56, 1984
37. Bifurcation and stability of periodic traveling waves for a reaction-diffusion system
    Journal of Differential Equations, vol. 50, no. 2, pp. 218–233, 1983
38. Reduction Theorems for a Class of Semilinear Equations at Resonance
    Proceedings of the American Mathematical Society, vol. 84, no. 1, p. 73, 1982
39. Solutions of nonlinear elliptic systems with meshed spectra
    Nonlinear Analysis, vol. 4, no. 6, pp. 1023–1030, 1980
40. Existence and uniqueness for a variational hyperbolic system without resonance
    Nonlinear Analysis, vol. 4, no. 6, pp. 1151–1156, 1980
41. Hilbert space methods for nonlinear elliptic equations
    Journal of Differential Equations, vol. 32, no. 2, pp. 250–257, 1979
42. SIAM Journal on Mathematical Analysis, vol. 7, no. 6, Article ID 0507069, 1976