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Bifurcation of periodic solutions from a ring configuration in the vortex and filament problems

✍ Scribed by C. García-Azpeitia; J. Ize


Book ID
113699382
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
237 KB
Volume
252
Category
Article
ISSN
0022-0396

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Unstable Periodic Solutions of a Parabol
✍ Colette De Coster; Pierpaolo Omari 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 243 KB

We prove the solvability of the Dirichlet-periodic problem for a semilinear parabolic equation, assuming the existence of a lower solution : and an upper solution ;, which do not satisfy the ordering condition : ;. Our results yield the existence of unstable solutions, localized by means of : and ;,