Journal article
Shape differentiation of steady-state reaction-diffusion problems arising in chemical engineering with non-smooth kinetics with dead core
- Abstract:
- 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 is only Lipschitz continuous, and we will give a definition of the derivative when the nonlinearity has a blow up. In this direction, we study the case of root-type nonlinearities.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 216.5KB, Terms of use)
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Authors
- Publisher:
- Department of Mathematics, Texas State University
- Journal:
- Electronic Journal of Differential Equations More from this journal
- Volume:
- 2017
- Article number:
- 221
- Publication date:
- 2017-09-16
- Acceptance date:
- 2017-09-16
- ISSN:
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1072-6691
- Language:
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English
- Keywords:
- Pubs id:
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1137514
- Local pid:
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pubs:1137514
- Deposit date:
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2020-11-22
- ARK identifier:
Terms of use
- Copyright holder:
- Texas State University
- Copyright date:
- 2017
- Rights statement:
- Copyright 2017 Texas State University
- Licence:
- CC Attribution (CC BY)
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