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Some Crandall–Rabinowitz type results and applications toreaction–diffusion systems
- 1.0481828 - MÚ 2019 RIV US eng J - Journal Article
Väth, Martin
Some Crandall–Rabinowitz type results and applications toreaction–diffusion systems.
Journal of Mathematical Analysis and Applications. Roč. 458, č. 2 (2018), s. 1324-1343. ISSN 0022-247X. E-ISSN 1096-0813
Institutional support: RVO:67985840
Keywords : Crandall–Rabinowitz theorem * jumping nonlinearity * splitting of critical point
OECD category: Pure mathematics
Impact factor: 1.188, year: 2018
http://www.sciencedirect.com/science/article/pii/S0022247X17309319?via%3Dihub
For a small Lipschitz perturbation of a smooth equation the existence of exactly two bifurcation points near a simple eigenvalue is shown. The result is applied to reaction–diffusion systems subject to Turing’s diffusion-driven instability under small unilateral obstacles.
Permanent Link: http://hdl.handle.net/11104/0277293
Number of the records: 1