Waiting time phenomena for the porous medium equation with gradient absorption

Author:

Zheng Pan,Mu Chunlai,Zhang Fuchen,Ahmed Iftikhar

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference25 articles.

1. Andreucci, D., Tedeev, A.F., Ughi, M.: The Cauchy problem for degenerate parabolic equations with source and damping. Ukr. Math. Bull. 1, 1–23 (2004)

2. Antontsev, S.N., Diaz, J.I., Shmarev, S.: Energy methods for free boundary problems: applications for nonlinear PDEs and fluid mechanics. Progress in Nonlinear Differential Equations and Their Applications, A Birkhäuser Book, vol. XI. Birkhäuser, Boston (2002)

3. Aronson, D.G., Caffarelli, L.A.: The initial trace of a solution of the porous medium equation. Trans. Am. Math. Soc. 280, 351–366 (1983)

4. Arrieta, J.M., Rodriguez-Bernal, A., Souplet, P.: Boundedness of global solutions for nonlinear parabolic equations involving gradient blow-up phenomena. Ann. Sc. Norm. Super. Pisa Cl. Sci. 3, 1–15 (2004)

5. Benachour, S., Dǎbuleanu-Hapca, S., Laurençot, P.: Decay estimates for a viscous Hamilton–Jacobi equation with homogeneous Dirichlet boundary conditions. Asymptot. Anal. 51, 209–229 (2007)

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