Uniqueness of the solutions of ut−Δϕ(u) = 0 with initial datum a measure-Reference-Cited by-同舟云学术

Uniqueness of the solutions of ut−Δϕ(u) = 0 with initial datum a measure

Published:1982-03 Issue:2 Volume:6 Page:175-187
ISSN:0362-546X
Container-title:Nonlinear Analysis: Theory, Methods & Applications
language:en
Short-container-title:Nonlinear Analysis: Theory, Methods & Applications

Author:

Pierre Michel

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference23 articles.

1. Régularité des solutions de l'équation des milieux poreux dans RN;Aronson;C. r. Acad. Sci., Paris, Sér. A,1979

2. On some unsteady motions of a liquid and a gas in a porous medium;Barenblatt;Prikl, Mat. Mekh.,1952

3. Opérateurs accrétifs et semi-groupes dans les espaces Lp(1⩽p⩽∞);Bénilan;France-Japan Seminar, Tokyo,1976

4. A semilinear equation in L1(RN);Bénilan;Annali Scu. norm. sup., Pisa,1975

5. Bénilan Ph. & Crandall M.G., The continuous dependence on ϕ of solutions of ut−δϕ(u) = 0, Technical Summary Report No. 1942, M.R.C., University of Wisconsin-Madison.

Cited by 116 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. Nonlinear aggregation-diffusion equations with Riesz potentials;Journal of Functional Analysis;2024-07

2. Nonlinear Fokker–Planck equations with fractional Laplacian and McKean–Vlasov SDEs with Lévy noise;Probability Theory and Related Fields;2024-04-12

3. Non-preservation of α-concavity for the porous medium equation;Advances in Mathematics;2024-03

4. The Cauchy–Dirichlet problem for the fast diffusion equation on bounded domains;Nonlinear Analysis;2024-02

5. Existence of Nonlinear Fokker–Planck Flows;Lecture Notes in Mathematics;2024