L. Amour and M. Ben-artzi, Global existence and decay for viscous Hamilton? Jacobi equations, Nonlinear Anal, pp.31-621, 1998.

S. Benachour, G. Karch, . Ph, and . Laurençot, Asymptotic profiles of solutions to convection???diffusion equations, Comptes Rendus Mathematique, vol.338, issue.5
DOI : 10.1016/j.crma.2004.01.001
URL : https://hal.archives-ouvertes.fr/hal-00140801

S. Benachour, H. Koch, . Ph, and . Laurençot, Very singular solutions to a nonlinear parabolic equation with absorption II. Uniqueness, Proc. Roy. Soc. Edinburgh Sect. A
DOI : 10.1017/S0308210500003061

S. Benachour, . Ph, and . Laurençot, Global solutions to viscous hamilton-jacob1 equations with irregular initial data, Communications in Partial Differential Equations, vol.4, issue.11-12, pp.1999-2021, 1999.
DOI : 10.1016/S0362-546X(98)00042-X

S. Benachour, . Ph, and . Laurençot, Very singular solutions to a nonlinear parabolic equation with absorption. I. Existence, Proc. Roy. Soc. Edinburgh Sect. A 131, pp.27-44, 2001.
DOI : 10.1017/S0308210500000779

M. Ben-artzi and H. Koch, Decay of mass for a semilinear parabolic equation, Communications in Partial Differential Equations, vol.321, issue.5-6, pp.869-881, 1999.
DOI : 10.1103/PhysRevA.38.4271

M. Ben-artzi, P. Souplet, and F. B. Weissler, The local theory for viscous Hamilton???Jacobi equations in Lebesgue spaces, Journal de Math??matiques Pures et Appliqu??es, vol.81, issue.4, pp.343-378, 2002.
DOI : 10.1016/S0021-7824(01)01243-0

P. Biler, M. Guedda, and G. Karch, Asymptotic properties of solutions of the viscous Hamilton-Jacobi equation, Journal of Evolution Equations, vol.4, issue.1
DOI : 10.1007/s00028-003-0079-x

M. G. Crandall, L. C. Evans, and P. Lions, Some properties of viscosity solutions of Hamilton-Jacobi equations, Transactions of the American Mathematical Society, vol.282, issue.2, pp.487-502, 1984.
DOI : 10.1090/S0002-9947-1984-0732102-X

M. G. Crandall and P. Lions, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc, pp.277-278, 1983.

J. Duoandikoetxea and E. Zuazua, Moments, masses de Dirac et décomposition de fonctions, C. R. Acad. Sci. Paris Sér. I Math, pp.315-693, 1992.

M. Escobedo and E. Zuazua, Large time behavior for convection-diffusion equations in RN, Journal of Functional Analysis, vol.100, issue.1, pp.119-161, 1991.
DOI : 10.1016/0022-1236(91)90105-E

M. Escobedo, J. L. Vázquez, and E. Zuazua, Asymptotic behaviour and source-type solutions for a diffusion-convection equation, Archive for Rational Mechanics and Analysis, vol.28, issue.I, pp.43-65, 1993.
DOI : 10.1007/BF00392203

L. C. Evans, Partial Differential Equations, Graduate Stud. Math, vol.19, 1998.

E. Feireisl, . Ph, and . Laurençot, The L 1 -stability of constant states of degenerate convection-diffusion equations, Asymptot. Anal, vol.19, pp.267-288, 1999.

B. Gilding, M. Guedda, and R. Kersner, The Cauchy problem for the KPZ equation , prépublication LAMFA 28, 1998.

B. Gilding, M. Guedda, and R. Kersner, The Cauchy problem for ut=??u+|???u|q, Journal of Mathematical Analysis and Applications, vol.284, issue.2, pp.733-755, 2003.
DOI : 10.1016/S0022-247X(03)00395-0

R. S. Hamilton, Matrix Harnack estimate for the heat equation, Communications in Analysis and Geometry, vol.1, issue.1, pp.113-126, 1993.
DOI : 10.4310/CAG.1993.v1.n1.a6

G. Karch and M. E. Schonbek, ON ZERO MASS SOLUTIONS OF VISCOUS CONSERVATION LAWS, Communications in Partial Differential Equations, vol.6, issue.9-10, pp.2071-2100, 2002.
DOI : 10.1112/jlms/s2-35.2.303

Y. J. Kim, An Oleinik-type estimate for a convection???diffusion equation and convergence to N-waves, Journal of Differential Equations, vol.199, issue.2
DOI : 10.1016/j.jde.2003.10.014

. Ph, . Laurençot, . Ph, and . Souplet, On the growth of mass for a viscous Hamilton- Jacobi equation, J. Anal. Math, vol.89, pp.367-383, 2003.

T. Liu and M. Pierre, Source-solutions and asymptotic behavior in conservation laws, Journal of Differential Equations, vol.51, issue.3, pp.419-441, 1984.
DOI : 10.1016/0022-0396(84)90096-2
URL : http://doi.org/10.1016/0022-0396(84)90096-2

Y. Qi and M. Wang, The self-similar profiles of generalized KPZ equation, Pacific Journal of Mathematics, vol.201, issue.1, pp.223-240, 2001.
DOI : 10.2140/pjm.2001.201.223

T. Strömberg, The Hopf-Lax formula gives the unique viscosity solution, Differential Integral Equations, vol.15, pp.47-52, 2002.

J. L. Vázquez, Asymptotic behaviour of nonlinear parabolic equations Anomalous exponents, in " Degenerate Diffusions, Math. Appl, vol.47, pp.215-228, 1993.