Entropy numbers of diagonal operators of logarithmic type.
Kühn, Thomas (2001)
Georgian Mathematical Journal
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Kühn, Thomas (2001)
Georgian Mathematical Journal
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E. Robinson, Ayşe Şahin (2000)
Colloquium Mathematicae
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We prove that for a certain class of shifts of finite type with positive topological entropy there is always an invariant measure, with entropy arbitrarily close to the topological entropy, that has strong metric mixing properties. With the additional assumption that there are dense periodic orbits, one can ensure that this measure is Bernoulli.
Jan Goncerzewicz, Danielle Hilhorst (2000)
Banach Center Publications
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% We study the large time behaviour of entropy solutions of the Cauchy problem for a possibly degenerate nonlinear diffusion equation with a nonlinear convection term. The initial function is assumed to have bounded total variation. We prove the convergence of the solution to the entropy solution of a Riemann problem for the corresponding first order conservation law.
Mostafa Bendahmane, Mazen Saad (2005)
Revista Matemática Complutense
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In this paper, we study the question of existence and uniqueness of entropy solutions for a system of nonlinear partial differential equations with general anisotropic diffusivity and transport effects, supplemented with no-flux boundary conditions, modeling the spread of an epidemic disease through a heterogeneous habitat.
Yan, Rei-Fang (2006)
Revista Colombiana de Matemáticas
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Gabriel Rivière (2010)
Journées Équations aux dérivées partielles
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We study asymptotic properties of eigenfunctions of the Laplacian on compact Riemannian surfaces of Anosov type (for instance negatively curved surfaces). More precisely, we give an answer to a question of Anantharaman and Nonnenmacher [] by proving that the Kolmogorov-Sinai entropy of a semiclassical measure for the geodesic flow is bounded from below by half of the Ruelle upper bound. (This text has been written for the proceedings of the Journées EDP (Port d’Albret-June, 7-11...
Ammar, Kaouther, Redwane, Hicham (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ammar, Kaouther (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Junk, Michael (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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