THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
Tóm tắt
Từ khóa
Tài liệu tham khảo
Adams R. A., 1975, Sobolev spaces
Angenent S. B., 1991, Optimal asymptotics for solutions to the initial value problem for the porous medium equation
Arnold A., 1998, On logarithmic Sobolev inequalities, Csiszar–Kullback inequalities, and the rate to equilibrium for Fokker–Planck type equations
Barenblatt G. I., 1952, Prikl. Mat. Mech., 16, 679
Caffarelli L. A., 1996, Partial differential equations and applications, 177, 29
Carrillo J. A., Asymptotic L 1–decay of solutions of the porous medium equation to self–similarity, 10.1512/iumj.2000.49.1756
Dolbeault J., Generalized Sobolev inequalities and asymptotic behaviour in fast diffusion and porous medium problems
Evans L. C., Partial differential equations and Monge–Kantorovich mass transfer, 10.4310/CDM.1997.v1997.n1.a2
Evans L. C., 1999, Mem. Amer. Math. Soc., 137
Friedman A., 1980, Trans. Amer. Math. Soc., 262, 551
Gangbo W., 1995, C. R. Acad. Sci. Paris, 321, 1653
Givens C. R., 1994, Michigan Math. J., 31, 231
Kinderlehrer D., 1998, Approximations of parabolic equations based upon Wasserstein's variational principle
Otto F., 1996, Double degenerate diffusion equations as steepest descent, preprint 480 of the SFB 256
Rachev S. T., 1991, Probability metrics and the stability of stochastic models
Toscani G., Quarterly Appl. Math.