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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Dereich, S., Scheutzow, M. (2006)
Electronic Journal of Probability [electronic only]
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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.
Chazottes, Jean-René, Giardina, Cristian, Redig, Frank (2006)
Electronic Journal of Probability [electronic only]
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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.
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...
Ebrahimi, Mohamad, Mohamadi, Nasrin (2010)
APPS. Applied Sciences
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Emmanuel Germain (2007)
Annales mathématiques Blaise Pascal
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We present here two non-commutative situations where dynamical entropy estimates are possible. The first result is concerned with automorphisms of cross-products by an exact group that commute with the group action and generalizes the result known for amenable groups. The second is about continuous fields of C-algebras and -automorphisms. Each result relies on explicit factorization via matrices.
Satish Kumar, Rajesh Kumar (2011)
Kragujevac Journal of Mathematics
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