Abstract
We establish some abstract convergence and compactness results for families of singularly perturbed semilinear parabolic equations and apply them to reaction-diffusion equations with nonlinear boundary conditions and large diffusion. This refines some previous results of [R. Willie, A semilinear reaction-diffusion system of equations and large diffusion, J. Dynam. Differential Equations 16 (2004), 35-63].
Citation
Maria C. Carbinatto. Krzysztof P. Rybakowski. "On convergence and compactness in parabolic problems with globally large diffusion and nonlinear boundary conditions." Topol. Methods Nonlinear Anal. 40 (1) 1 - 28, 2012.
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