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Título:
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Minimal periods of semilinear evolution equations with Lipschitz nonlinearity
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Autores:
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Robinson, James C. ;
Vidal López, Alejandro
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 2006-01-15
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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It is known that any periodic orbit of a Lipschitz ordinary differential equation must have period at least 2?/L, where L is the Lipschitz constant of f. In this paper, we prove a similar result for the semilinear evolution equation du/dt=-Au+f(u): for each ? with 0 ? 1/2 there exists a constant K? such that if L is the Lipschitz constant of f as a map from D(A?) into H then any periodic orbit has period at least K?L-1/(1-?). As a concrete application we recover a result of Kukavica giving a lower bound on the period for the 2d Navier–Stokes equations with periodic boundary conditions.
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En línea:
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https://eprints.ucm.es/id/eprint/12584/1/2005minimal-16.pdf
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