Behaviour of solutions to $u_{t} - Δu + |∇u|^{p} = 0$ as p → +∞

• Autorzy: Philippe Laurençot
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2000
• Tom: 52
• Numer: 1
• Strony: 153-161

Daty

wydano

2000

Twórcy

autor

Philippe Laurençot

• CNRS & Institut Elie Cartan - Nancy, Université de Nancy I, BP 239, F-54506 Vandœuvre-lès-Nancy Cedex, France

Bibliografia

• [1] L. Amour and M. Ben-Artzi, Global existence and decay for viscous Hamilton-Jacobi equations, Nonlinear Anal. 31 (1998), 621-628.
• [2] S. Benachour and Ph. Laurençot, Global solutions to viscous Hamilton-Jacobi equations with irregular initial data, Comm. Partial Differential Equations 24 (1999), 1999-2021.
• [3] Ph. Bénilan and M. G. Crandall, Completely accretive operators, in: Semigroup Theory and Evolution Equations, Ph. Clément et al. (eds.), Lecture Notes in Pure and Appl. Math. 135, Dekker, New York, 1991, 41-75.
• [4] Ph. Bénilan and P. Wittbold, Absorptions non linéaires, J. Funct. Anal. 114 (1993), 59-96.
• [5] K. M. Hui, Asymptotic behaviour of solutions of $u_t = Δu^m - u^p$ as p → ∞, Nonlinear Anal. 21 (1993), 191-195.
• [6] O. Kavian, Introduction à la Théorie des Points Critiques et Applications aux Problèmes Elliptiques, Math. Appl. 13, SMAI, Springer-Verlag, Paris, 1993.
• [7] O. A. Ladyženskaja, V. A. Solonnikov and N. N. Ural'ceva, Linear and Quasilinear Equations of Parabolic Type, Transl. Math. Monogr. 23, Amer. Math. Soc., Providence, 1968.