Articles in Scholarly Journals [Incomplete List]

1. Explicit stationary solutions in multiple well dynamics and non-uniqueness of interfacial energy densities
   European Journal of Applied Mathematics, vol. 17, no. 05, p. 525, 2006
2. Motion of bubbles towards the boundary for the CahnHilliard equation
   European Journal of Applied Mathematics, vol. 15, no. 1, pp. 103–124, 2004
3. Continuum limits of particles interacting via diffusion
   Abstract and Applied Analysis, vol. 2004, no. 3, pp. 215–237, 2004
4. Ostwald ripening in two dimensions?the rigorous derivation of the equations from the Mullins?Sekerka dynamics
   Journal of Differential Equations, vol. 205, no. 1, pp. 1–49, 2004
5. The Effect of the Geometry of the Particle Distribution in Ostwald Ripening
   Communications in Mathematical Physics, vol. 238, no. 3, pp. 481–488, 2003
6. Ostwald Ripening for Dilute Systems Under Quasistationary Dynamics
   Communications in Mathematical Physics, vol. 238, no. 3, pp. 429–479, 2003
7. Motion of a droplet by surface tension along the boundary
   Calculus of Variations and Partial Differential Equations, vol. 11, no. 3, pp. 233–305, 2000
8. Critical Points of a Singular Perturbation Problem via Reduced Energy and Local Linking
   Journal of Differential Equations, vol. 159, no. 2, pp. 403–426, 1999
9. Journal of Statistical Physics, vol. 95, no. 5/6, pp. 851–866, 1999
10. Transactions of the American Mathematical Society, vol. 351, no. 07, pp. 2777–2806, 1999
11. Slow Dynamics for the Cahn-Hilliard Equation in Higher Space Dimensions: The Motion of Bubbles
    Archive for Rational Mechanics and Analysis, vol. 141, no. 1, pp. 1–61, 1998
12. Slow motion in the gradient theory of phase transitions via energy and spectrum
    Calculus of Variations and Partial Differential Equations, vol. 6, no. 1, pp. 39–66, 1997
13. Critical Spectrum and Stability of Interfaces for a Class of Reaction–Diffusion Equations
    Journal of Differential Equations, vol. 126, no. 1, pp. 106–167, 1996
14. Finite dimensional dynamics and interfaces intersecting the boundary: Equilibria and the quasi-invariant manifold
    Indiana University Mathematics Journal, vol. 45, no. 4, pp. 0–0, 1996
15. 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
16. Slow dynamics for the cahn-hilliard equation in higher space dimension part i: spectral estimates
    Communications in Partial Differential Equations, vol. 19, no. 9, pp. 1397–1447, 1994
17. 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
18. Indiana University Mathematics Journal, vol. 42, no. 2, Article ID 42028, 1993
19. Slow motion for the Cahn-Hilliard equation in one space dimension
    Journal of Differential Equations, vol. 90, no. 1, pp. 81–135, 1991
20. Discrete order preserving semigroups and stability for periodic parabolic differential equations
    Journal of Differential Equations, vol. 82, no. 2, pp. 322–341, 1989
21. 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
22. SIAM Journal on Mathematical Analysis, vol. 18, no. 5, Article ID 0518105, 1987
23. On the pointwise behavior of the solutions of the porous medium equation as t approaches zero or infinity
    Nonlinear Analysis, vol. 9, no. 10, pp. 1095–1113, 1985
24. 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
25. Estimates for the eigenvalues of the Jordan product of Hermitian matrices
    Linear Algebra and its Applications, vol. 57, no. 1, pp. 41–56, 1984
26. Stabilization of solutions of the equation ?u/?t = ?f(u) - ß(u)
    Nonlinear Analysis, vol. 6, no. 6, pp. 637–647, 1982
27. Lower bound estimates and separable solutions for homogeneous equations of evolution in Banach space*1
    Journal of Differential Equations, vol. 43, no. 3, pp. 323–344, 1982
28. Gradient estimates for degenerate diffusion equations. I
    Mathematische Annalen, vol. 259, no. 1, pp. 53–70, 1982
29. Remarks on invariance in reaction- diffusion equations
    Nonlinear Analysis, vol. 5, no. 6, pp. 593–614, 1981
30. Regularity and asymptotic behavior for the second order parabolic equation with nonlinear boundary conditions in
    Journal of Differential Equations, vol. 39, no. 3, pp. 311–344, 1981
31. Indiana University Mathematics Journal, vol. 30, no. 5, Article ID 30056, 1981
32. An application of the invariance principle to reaction-diffusion equations
    Journal of Differential Equations, vol. 33, no. 2, pp. 201–225, 1979
33. LP Bounds of solutions of reaction-diffusion equations
    Communications in Partial Differential Equations, vol. 4, no. 8, pp. 827–868, 1979