Numerical estimates for semilinear parabolic equations
SIAM Journal on Numerical Analysis
Fast reaction, slow diffusion, and curve shortening
SIAM Journal on Applied Mathematics
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Reaction--diffusion problems have been used to describe pattern formation in developmental biology and material science. I study the existence and stability of a singularly perturbed reaction--diffusion problem with inhomogeneous environment in one-dimensional space domain and also high-dimensional space domain.