Intermediate Asymptotics Beyond Homogeneity and Self-Similarity: Long Time Behavior for u t = Δϕ(u)-Reference-Cited by-同舟云学术

Intermediate Asymptotics Beyond Homogeneity and Self-Similarity: Long Time Behavior for u t = Δϕ(u)

Published:2006-01-16 Issue:1 Volume:180 Page:127-149
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch. Rational Mech. Anal.

Author:

Carrillo José A.,Francesco Marco Di,Toscani Giuseppe

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00205-005-0403-4.pdf

Reference38 articles.

1. Agueh, M.: Existence of solutions to degenerate parabolic equations via the monge-kantorovich theory. Adv. Differential Equations. 10, 309–360 (2005)

2. Ambrosio, L.A., Gigli, N., Savaré, G.: Gradient flows in metric spaces and in the space of probability measures. Lectures in Mathematics, Birkhäuser, 2005

3. Aronson, D.G., Bénilan, P.: Régularité des solutions de l'équation des milieux poreux dans R N . C. R. Acad. Sci. Paris Sér. A-B288, A103–A105 (1979)

4. Barenblatt, G.I., Vázquez, J.L.: Nonlinear diffusion and image contour enhancement. Interfaces Free Bound. 6, 31–54 (2004)

5. Benedetto, D., Caglioti, E., Pulvirenti, M.: A kinetic equation for granular media. RAIRO Modél. Math. Anal. Numér. 31, 615–641 (1997)

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Nonlocal approximation of nonlinear diffusion equations;Calculus of Variations and Partial Differential Equations;2024-04-13

2. Beginner’s guide to aggregation-diffusion equations;SeMA Journal;2024-03-13

3. Fine properties of solutions to the Cauchy problem for a fast diffusion equation with Caffarelli–Kohn–Nirenberg weights;Annales de l'Institut Henri Poincaré C, Analyse non linéaire;2022-07-27

4. Nonlocal filtration equations with rough kernels;Nonlinear Analysis;2016-05

5. Exponential convergence to equilibrium in a Poisson-Nernst-Planck-type system with nonlinear diffusion;Discrete and Continuous Dynamical Systems;2015-10