1 |
L. A. Peletier and D. Terman, A very singular solution of the porous media equation with absorption, J. Differential Equations 65 (1986), no. 3, 396-410.
DOI
|
2 |
L. A. Peletier and J.Wang, A very singular solution of a quasilinear degenerate diffusion equation with absorption, Trans. Amer. Math. Soc. 307 (1988), no. 2, 813-826.
DOI
ScienceOn
|
3 |
Z. Q. Wu, J. N. Zhao, J. X. Yin, and H. L. Li, Nonlinear Diffusion Equations, WorldScientific Publishing Co., Inc., River Edge, NJ, 2001.
|
4 |
J. N. Zhao, The asymptotic behaviour of solutions of a quasilinear degenerate parabolic equation, J. Differential Equations 102 (1993), no. 1, 33-52.
DOI
ScienceOn
|
5 |
Z. B. Fang and M. Kwak, Complete classification of shape functions of self-similar solutions, J. Math. Anal. Appl. 330 (2007), no. 2, 1447-1464.
DOI
ScienceOn
|
6 |
M. Guedda, Self-similar solutions to a convection-diffusion processes, Electron. J. Qual. Theory Differ. Equ. 2000 (2000), no. 3, 17 pp.
|
7 |
S. Kamin and L. Veron, Existence and uniqueness of the very singular solution of the porous media equation with absorption, J. Analyse Math. 51 (1988), 245-258.
DOI
|
8 |
M. Kwak, A semilinear heat equation with singular initial data, Proc. Roy. Soc. Edinburgh Sect. A 128 (1998), no. 4, 745-758.
DOI
|
9 |
M. Kwak, A porous media equation with absorption. II. Uniqueness of the very singular solution, J. Math. Anal. Appl. 223 (1998), no. 1, 111-125.
|
10 |
M. Kwak, A porous media equation with absorption. I. Long time behaviour, J. Math. Anal. Appl. 223 (1998), no. 1, 96-110.
DOI
ScienceOn
|
11 |
M. Kwak and K. Yu, Asymptotic behaviour of solutions of a degenerate parabolic equation, Nonlinear Anal. 45 (2001), no. 1, Ser. A: Theory Methods, 109-121.
DOI
ScienceOn
|
12 |
Ph. Laurencot and F. Simondon, Source-type solutions to porous medium equations with convection, Commun. Appl. Anal. 1 (1997), no. 4, 489-502.
|
13 |
Ph. Laurencot and F. Simondon, Long-time behaviour for porous medium equations with convection, Proc. Roy. Soc. Edinburgh Sect. A 128 (1998), no. 2, 315-336.
DOI
|
14 |
G. Leoni, On the existence of fast-decay solutions for a quasilinear elliptic equation with a gradient term, Atti Sem. Mat. Fis. Univ. Modena 46 (1998), suppl., 827-846.
|
15 |
H. Brezis, L. A. Peletier, and D. Terman, A very singular solution of the heat equation with absorption, Arch. Rational Mech. Anal. 95 (1986), no. 3, 185-209.
|
16 |
L. A. Peletier and H. C. Serafini, A very singular solution and other self-similar solutions of the heat equation with convection, Nonlinear Anal. 24 (1995), no. 1, 29-49.
DOI
ScienceOn
|
17 |
J. S. Baek, M. Kwak, and K. Yu, Uniqueness of the very singular solution of a degenerate parabolic equation, Nonlinear Anal. 45 (2001), no. 1, Ser. A: Theory Methods, 123-135.
DOI
ScienceOn
|
18 |
P. Biler and G. Karch, A Neumann problem for a convection-diffusion equation on the half-line, Ann. Polon. Math. 74 (2000), 79-95.
DOI
|
19 |
J. L. Diaz and J. E. Saa, Uniqueness of very singular self-similar solution of a quasilinear degenerate parabolic equation with absorption, Publ. Mat. 36 (1992), no. 1, 19-38.
DOI
|
20 |
E. DiBenedetto, Degenerate Parabolic Equations, Springer-Verlag, New York, 1993.
|
21 |
M. Escobedo, O. Kavian, and H. Matano, Large time behavior of solutions of a dissipative semilinear heat equation, Comm. Partial Differential Equations 20 (1995), no. 7-8, 1427-1452.
DOI
ScienceOn
|
22 |
M. Escobedo and E. Zuazua, Large time behavior for convection-diffusion equations in , J. Funct. Anal. 100 (1991), no. 1, 119-161.
DOI
|
23 |
L. C. Evans, Partial Differential Equations, American Mathematical Society, Providence, RI, 1998.
|
24 |
M. Escobedo, J. L. Vazquez, and E. Zuazua, A diffusion-convection equation in several space dimensions, Indiana Univ. Math. J. 42 (1993), no. 4, 1413-1440.
DOI
|