Shape differentiation of steady-state reaction-diffusion problems arising in chemical engineering with non-smooth kinetics with dead core

In this paper we consider an extension of the results in shape differentiation of semilinear equations with smooth nonlinearity presented by Diaz and Gomez-Castro to the case in which the nonlinearities might be less smooth. Namely we show that Gateaux shape derivatives exists when the nonlinearity...

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Bibliographic Details
Main Author: Gómez-Castro, D
Format: Journal article
Language:English
Published: Department of Mathematics, Texas State University 2017