Modified logarithmic Sobolev inequalities in null curvature.
I. Gentil, A. Guillin, L. Miclo (2007)
Revista Matemática Iberoamericana
Similarity:
I. Gentil, A. Guillin, L. Miclo (2007)
Revista Matemática Iberoamericana
Similarity:
J. L. Lewis, K. Nyström (2007)
Revista Matemática Iberoamericana
Similarity:
P. Hajlasz, P. Koskela, H. Tuominen (2008)
Revista Matemática Iberoamericana
Similarity:
P. A. Hästo (2007)
Revista Matemática Iberoamericana
Similarity:
Kazuya Tachizawa (2005)
Revista Matemática Iberoamericana
Similarity:
We give a weighted version of the Sobolev-Lieb-Thirring inequality for suborthonormal functions. In the proof of our result we use phi-transform of Frazier-Jawerth.
R. Tessera (2008)
Revista Matemática Iberoamericana
Similarity:
B. Krötz, S. Thangavelu, Y. Xu (2008)
Revista Matemática Iberoamericana
Similarity:
José A. Carrillo, Robert J. McCann, Cédric Villani (2003)
Revista Matemática Iberoamericana
Similarity:
The long-time asymptotics of certain nonlinear , nonlocal, diffusive equations with a gradient flow structure are analyzed. In particular, a result of Benedetto, Caglioti, Carrillo and Pulvirenti [4] guaranteeing eventual relaxation to equilibrium velocities in a spatially homogencous model of granular flow is extended and quantified by computing explicit relaxation rates. Our arguments rely on establishing generalizations of logarithmic Sobolev inequalities and mass transportation inequalities,...
Aurélia Fraysse, Stéphane Jaffard (2006)
Revista Matemática Iberoamericana
Similarity:
We show that almost every function (in the sense of prevalence) in a Sobolev space is multifractal: Its regularity changes from point to point; the sets of points with a given Hölder regularity are fractal sets, and we determine their Hausdorff dimension.
María J. Carro, Joaquim Martín (2004)
Revista Matemática Iberoamericana
Similarity:
Matteo Bonforte, Gabriele Grillo (2006)
Revista Matemática Iberoamericana
Similarity:
We use logarithmic Sobolev inequalities involving the p-energy functional recently derived in [15], [21] to prove L-L smoothing and decay properties, of supercontractive and ultracontractive type, for the semigroups associated to doubly nonlinear evolution equations of the form u = Δ(u) (with m(p - 1) ≥ 1) in an arbitrary euclidean domain, homogeneous Dirichlet boundary conditions being assumed. The bound are of the form ||u(t)|| ≤ C||u|| / t for any r ≤ q ∈ [1,+∞) and...