Variational methods and implicit discrete Nagumo equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43928440" target="_blank" >RIV/49777513:23520/16:43928440 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0022247X16001335" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0022247X16001335</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2016.02.009" target="_blank" >10.1016/j.jmaa.2016.02.009</a>

Result language
angličtina
Original language name
Variational methods and implicit discrete Nagumo equation
Original language description
We analyze existence and uniqueness of solutions of the implicit discrete Nagumo reaction-diffusion equation. We study the infinite-dimensional problem variationally and describe corresponding potentials which have either the convex or mountain pass geometry. Consequently, we show that the implicit Nagumo equation has a solution for all reaction parameters, at least for small time discretization steps. Moreover, the solution is unique in the bistable case.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA15-07690S" target="_blank" >GA15-07690S: Partial Difference and Differential Equations on Lattices</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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