[1]
Abdulla U. G. & King J. R. (2000) Interface development and local solutions to reaction-diffusion equations. SIAM J. Math. Anal.
32
(4), 235–260.

[2]
Abdulla U. G. (2002) Evolution of interfaces and explicit asymptotics at infinity for the fast diffusion equation with absorption. Nonlinear Anal.: Theory, Methods Appl.
50
(4), 541–560.

[3]
Abdulla U. G. (2000) Reaction-diffusion in irregular domains.
J. Differ. Equ.
164, 321–354.

[4]
Abdulla U. G. (2000) Reaction-diffusion in a closed domain formed by irregular curves.
J. Math. Anal. Appl.
246, 480–492.

[5]
Abdulla U. G. (2001) On the Dirichlet problem for the nonlinear diffusion equation in non-smooth domains. J. Math. Anal. Appl.
260
(2), 384–403.

[6]
Abdulla U. G. (2005) Well-posedness of the Dirichlet problem for the nonlinear diffusion equation in non-smooth domains. Trans. Amer. Math. Soc.
357
(1), 247–265.

[7]
Abdulla U. G. (2007) Reaction-diffusion in nonsmooth and closed domains. Boundary Value Problems, 2007, 28 (Special issue: Harnack Estimates, Positivity and Local Behaviour of Degenerate and Singular Parabolic Equations).

[8]
Antontsev S. N., Daz J. I. & Shmarev S. (2002) Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics, Progress in Nonlinear Differential Equations and Applications, Vol. 48, Birkhauser Boston, Inc., Boston.

[9]
Barenblatt G. I. (1952) On some unsteady motions of a liquid or a gas in a porous medium.
Prikl. Mat. Mech.
16, 67–78.

[10]
Barenblatt G. I. (1996) Scaling, Self-similarity, and Intermediate Asymptotics. With a Foreword by Zeldovich Ya. B., Cambridge Texts in Applied Mathematics, Vol. 14, Cambridge University Press, Cambridge, pp. xxii+386.

[11]
Degtyarev S. P. & Tedeev A. F. (2012) On the solvability of the Cauchy problem with growing initial data for a class of anisotropic parabolic equations. J. Math. Sci.
181
(1), 28–46.

[12]
DiBenedetto E. (1993) Degenerate Parabolic Equations, Universitext, Springer Verlag, New York.

[13]
DiBenedetto E. (1986) On the local behaviour of solutions of degenerate parabolic equtions with measurable coefficients. Ann. Sc. Norm. Sup. Pisa Cl. Sci. Ser IV
XIII
(3), 487–535.

[14]
DiBenedetto E. & Herrero M. A. (1989) On the Cauchy problem and initial traces for a degenerate parabolic equation.
Trans. AMS
314, 187–224.

[15]
Esteban J. R. & Vazquez J. L. (1986) On the equation of turbulent filtration in one-dimensional porous media. Nonlinear Anal.: Theory, Methods Appl.
10
(11), 1303–1325.

[16]
Grundy R. E. & Peletier L. A. (1987) Short time behaviour of a singular solution to the heat equation with absorption. Proc. R. Soc. Edinburgh: Section A Math.
107
(3–4), 271–288.

[17]
Grundy R. E. & Peletier L. A. (1990) The initial interface development for a reaction-diffusion equation with power-law initial data. Q. J. Mech. Appl. Math.
43
(4), 535–559.

[18]
Herrero M. A. & Vazquez J. L. (1982) On the propagation properties of a nonlinear degenerate parabolic equation. Commun. Partial Differ. Equ.
7
(12), 1381–1402.

[19]
Ishige K. (1996) On the existence of solutions of the Cauchy problem for a doubly nonlinear parabolic equation. SIAM J. Math. Anal.
27
(5), 1235–1260.

[20]
Kalashnikov A. S. (1987) Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations. Russ. Math. Surv.
42
(2), 169–222.

[21]
Kalashnikov A. S. (1978) On a nonlinear equation appearing in the theory of non-stationary filtration.
Trud. Semin. I.G.Pertovski
4, 137–146 (in Russian).

[22]
Kalashnikov A. S. (1982) On the propagation of perturbations in the first boundary value problem of a doubly-nonlinear degenerate parabolic equation.
Trud. Semin. I.G.Pertovski
8, 128–134 (in Russian).

[23]
King J. R. (1995) Development of singularities in some moving boundary problems.
Euro. J. Appl. Math.
6, 491–507.

[24]
Li Z., Du W. & Mu C. (2013) Travelling-wave solutions and interfaces for non-Newtonian diffusion equations with strong absorption. J. Math. Res. Appl.
33
(4), 451–462.

[25]
Shmarev S., Vdovin V. & Vlasov A. (2015) Interfaces in diffusion-absorption processes in nonhomogeneous media.
Math. Comput. Simul.
118, 360–378.

[26]
Tsutsumi M. (1988) On solutions of some doubly nonlinear degenerate parabolic equations with absorption. J. Math. Anal. Appl.
132
(1), 187–212.