Doubling construction for O(m) × O(n) invariant solutions to the Allen–Cahn equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F22%3A43963246" target="_blank" >RIV/49777513:23520/22:43963246 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0362546X21002789?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0362546X21002789?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2021.112705" target="_blank" >10.1016/j.na.2021.112705</a>

Result language
angličtina
Original language name
Doubling construction for O(m) × O(n) invariant solutions to the Allen–Cahn equation
Original language description
We construct new families of two-ended O(m) × O(n)-invariant solutions to the Allen–Cahn equation Δu + u − u3=0 in RN+1, with N ≥ 7, whose zero level sets diverge logarithmically from the Lawson cone at infinity. The construction is based on a careful study of the Jacobi–Toda system on a given O(m) × O(n)-invariant manifold, which is asymptotic to the Lawson cone at infinity.
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

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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