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Global Bifurcation for a Reaction-Diffusion System with Inclusions
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SYSNO ASEP 0331689 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Global Bifurcation for a Reaction-Diffusion System with Inclusions Author(s) Eisner, Jan (MU-W) SAI
Kučera, Milan (MU-W) RID, SAI, ORCID
Väth, M. (DE)Source Title Zeitschrift für Analysis und Ihre Anwendungen - ISSN 0232-2064
Roč. 28, č. 4 (2009), s. 373-409Number of pages 37 s. Language eng - English Country DE - Germany Keywords global bifurcation ; degree ; stationary solutions ; reaction-diffusion system ; Laplace operator Subject RIV BA - General Mathematics R&D Projects IAA100190506 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000274276400001 DOI 10.4171/ZAA/1390 Annotation We consider a reaction-diffusion system exhibiting diffusion driven instability if supplemented by Dirichlet-Neumann boundary conditions. We impose unilateral conditions given by inclusions on this system and prove that global bifurcation of spatially non-homogeneous stationary solutions occured in the domain of parameters where bifurcation is excluded for the original mixed boundary value problem. Inclusions can be considered in one of the equations itself as well as in boundary conditions. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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