Bifurcation in skew-symmetric reaction-diffusion systems with unilateral terms

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F21%3A00349879" target="_blank" >RIV/68407700:21340/21:00349879 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jmaa.2021.125223" target="_blank" >https://doi.org/10.1016/j.jmaa.2021.125223</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2021.125223" target="_blank" >10.1016/j.jmaa.2021.125223</a>

Result language
angličtina
Original language name
Bifurcation in skew-symmetric reaction-diffusion systems with unilateral terms
Original language description
The paper deals with skew-symmetric reaction-diffusion systems satisfying assumptions guaranteeing Turing's instability and supplemented by unilateral terms of type v^- and v^+. Existence of critical and bifurcation points is proved for diffusion rates, for which it is excluded without any unilateral term. These results are achieved by rewriting the skew-symmetric system as an abstract equation with positively homogeneous potential operator. General theorems about a variational characterization of the largest eigenvalue for positively homogeneous operators in a Hilbert space and bifurcation in equations with potentials are proved and subsequently applied to the reaction-diffusion systems, yielding the desired conclusions.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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