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Education: PhD, U. Utah BSc, U. London Employment: Michigan State U. (current) Brigham Young U. National Science Foundation Texas A&M U. Pan American U. Texas Visiting Positions: Research Institute For mathematical Sciences, Kyoto Isaac Newton Institute for Mathematical Sciences, Cambridge Institute for Mathematics and its Applications, Minneapolis University of Utah University of Rome II Heriot-Watt University University of Texas
Infinite-dimensional dynamical systems, nonlinear elliptic and parabolic PDE, phase transitions
Bates, Peter W.; Han, Jianlong, The Neumann boundary problem for a nonlocal Cahn-Hilliard equation. J. Differential Equations 212 (2005), no. 2, 235--277. Bates, Peter W.; Chen, Xinfu; Chmaj, Adam J. J., Traveling waves of bistable dynamics on a lattice. SIAM J. Math. Anal. 35 (2003), no. 2, 520--546 Bates, Peter W.; Shi, Junping, Existence and instability of spike layer solutions to singular perturbation problems. J. Funct. Anal. 196 (2002), no. 2, 211-264. Bates, Peter W.; Chen, Fengxin, Spectral analysis and multidimensional stability of traveling waves for nonlocal Allen-Cahn equation. J. Math. Anal. Appl. 273 (2002), no. 1, 45--57.
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