Existence and large time behaviour of finite points blow-up solutions of the fast diffusion equation

Author:

Hui Kin Ming,Kim Sunghoon

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference29 articles.

1. Aronson, D.G.: The porous medium equation. In: CIME Lectures in Some problems in Nonlinear Diffusion, Lecture Notes in Mathematics, vol. 1224, Springer, New York (1986)

2. Bonforte, M., Vazquez, J.L.: Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations. Adv. Math. 223, 529–578 (2010)

3. Choi, B., Lee, K.: Multi-D fast diffusion equation via diffusive scaling of generalized Carleman kinetic equation (2015). arXiv:1510.08997

4. Dahlberg, B.E.J., Kenig, C.E.: Nonnegative solutions to the generalized porous medium equation. Rev. Mat. Iberoamericana 2, 267–305 (1986)

5. Dahlberg, B.E.J., Fabes, Eugene B., Kenig, C.E.: A Fatou theorem for solutions of the porous medium equation. Proc. Am. Math. Soc. 91(2), 205–212 (1984)

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