Reaction-Di_usion Waves with Nonlinear Boundary Conditions in Connection with Inammatory Diseases
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2022-09-29 19:42
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APREUTESEI, Narcisa C.. Reaction-Di_usion Waves with Nonlinear Boundary Conditions in Connection with Inammatory Diseases. In: Conference on Applied and Industrial Mathematics: CAIM 2017, 14-17 septembrie 2017, Iași. Chișinău: Casa Editorial-Poligrafică „Bons Offices”, 2017, Ediţia 25, p. 4. ISBN 978-9975-76-247-2.
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Conference on Applied and Industrial Mathematics
Ediţia 25, 2017
Conferința "Conference on Applied and Industrial Mathematics"
Iași, Romania, 14-17 septembrie 2017

Reaction-Di_usion Waves with Nonlinear Boundary Conditions in Connection with Inammatory Diseases


Pag. 4-4

Apreutesei Narcisa C.
 
Gheorghe Asachi Technical University of Iasi
 
Disponibil în IBN: 22 septembrie 2022


Rezumat

We are concerned with the existence of travelling wave solutions for reaction-di usion equations with nonlinear boundary conditions. Such equations have been proposed to model the development of atherosclerosis or other in ammatory diseases. Monostable and bistable equations are approached. In the bistable case one employs the Leray-Schauder method, that is based on a topological degree for elliptic problems in unbounded domains and on a priori estimates of solutions. Fredholm property for associated linearized operators is proved and properness of the semilinear operators is studied in weighted Holder spaces.