]. G. Barles, S. Biton, M. Bourgoing, and O. Ley, Uniqueness results for quasilinear parabolic equations through viscosity solutions' methods, Calculus of Variations and Partial Differential Equations, vol.18, issue.2, pp.159-179, 2003.
DOI : 10.1007/s00526-002-0186-5

W. K. Burton, N. Cabrera, and F. C. Frank, The Growth of Crystals and the Equilibrium Structure of their Surfaces, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.243, issue.866, pp.299-358, 1951.
DOI : 10.1098/rsta.1951.0006

Y. G. Chen, Y. Giga, and S. Goto, Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations, Journal of Differential Geometry, vol.33, issue.3, pp.749-786, 1991.
DOI : 10.4310/jdg/1214446564

K. Chou and Y. Kwong, On quasilinear parabolic equations which admit global solutions for initial data with unrestricted growth, Calc, Var, vol.12, issue.281, p.315, 2001.

M. G. Crandall, H. Ishii, and P. Lions, user's guide to viscosity solutions\\ of second order\\ partial differential equations, Bulletin of the American Mathematical Society, vol.27, issue.1, pp.27-28, 1992.
DOI : 10.1090/S0273-0979-1992-00266-5

L. C. Evans and R. F. Gariepy, Measure theory and fine properties of functions, Studies in Advanced Mathematics, 1992.

L. C. Evans and J. Spruck, Motion of level sets by mean curvature. I, Journal of Differential Geometry, vol.33, issue.3, pp.635-681, 1991.
DOI : 10.4310/jdg/1214446559

A. Friedman, Avner, Partial differential equations of parabolic type, 1964.

N. Forcadel, C. Imbert, and R. Monneau, Large time asymptotic for spirals moving by mean curvature type motion

Y. Giga, N. Ishimura, and Y. Kohsaka, Spiral solutions for a weakly anisotropic curvature flow equation, Adv. Math. Sci. Appl, vol.12, pp.393-408, 2002.

Y. Giga and M. Sato, Generalized interface evolution with the Neumann boundary condition, Proc. Japan Acad, pp.263-266, 1991.
DOI : 10.3792/pjaa.67.263

H. Ishii, Perron's method for Hamilton-Jacobi equations, Duke Math, J, issue.2, pp.55-369, 1987.

N. Ishimura, Shape of spirals, Tohoku Mathematical Journal, vol.50, issue.2, pp.50-197, 1998.
DOI : 10.2748/tmj/1178224973

A. Karma and M. Plapp, Spiral surface growth without desorption, Physical Review Letters, pp.4444-4447, 1998.
DOI : 10.1103/physrevlett.81.4444
URL : http://arxiv.org/abs/cond-mat/9809358

O. A. Lady?enskaja, V. A. Solonnikov, and N. N. , Ural ceva, Linear and quasilinear equations of parabolic type, Translated from the Russian by S, Smith. Translations of Mathematical Monographs, vol.23, 1967.

T. Ogiwara and K. Nakamura, Spiral traveling wave solutions of some parabolic equations on annuli, NLA99: Computer algebra, pp.15-34, 1999.

T. Ohtsuka, A level set method for spiral crystal growth, Adv. Math. Sci. Appl, vol.13, pp.225-248, 2003.

S. Osher and J. A. Sethian, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1988.
DOI : 10.1016/0021-9991(88)90002-2

M. Sato, Interface evolution with Neumann boundary condition, Adv. Math. Sci. Appl, vol.4, pp.249-264, 1994.

T. P. Schulze and R. V. Kohn, A geometric model for coarsening during spiral-mode growth of thin films, Physica D: Nonlinear Phenomena, vol.132, issue.4, pp.520-542, 1999.
DOI : 10.1016/S0167-2789(99)00108-6

P. Smereka, Spiral crystal growth, Physica D: Nonlinear Phenomena, vol.138, issue.3-4, pp.282-301, 2000.
DOI : 10.1016/S0167-2789(99)00216-X