Asymptotic estimates of solutions of ut-12Δu=-|∇u| in R+×Rd,d≥2

Journal of Functional Analysis

Volumn 144, Issue 2, 1997, Pages 301-324

  Benachour, S ^a   Roynette, B ^a   Vallois, P ^a  

^a UNIVERSITÉ DE LORRAINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031094013     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.2984     Document Type: Article

References (13)

1. Ben Artzi M. Global existence and decay for a nonlinear parabolic equation. Nonlinear Anal. Theory, Methods Appl. 19:1992;763-768.
2. S. Benachour, H. Brézis, M. Pierre.
3. x;| Astérisque. 236:1996;41-71.
4. Chipot M., Weisler F. B. Some blow-up results for a non-linear parabolic equation with a gradient term. Siam J. Math. Anal. 20:1989;886-907.
5. N. J. Funct. Anal. 100:1991;119-161.
6. Giga Y., Kambé T. Large time behavior of the vorticity of two dimensional viscous flows and its applications to vortex formation. Comm. Math. Phys. 117:1988;549-568.
7. Kavian O. Remarks on the large time behavior of a non linear diffusion equation. Ann. Institut H. Poincaré, Anal. non linéaire. 4:1987;423-452.
8. Lions P. L. Generalized solutions of Hamilton-Jacobi equation. Pitman Res. Notes Math. 69:1982.
9. Liu T. P., Pierre M. Source solutions and asymptotic behavior in conservation laws. J. Diff. Equations. 51:1984;419-441.
10. Ladyzenskaya O. A. The Mathematical Theory of Viscous Incompressible Flows. 1969;Gordon and Breach, New York.
11. Pitman J. W., Yor M. A decomposition of Bessel Bridges. Z. Wahrscheinlichkeitstheor. Verw. Geb. 59:1982;425-457.
12. Pitman J. W., Yor M. Quelques indentités en loi pour les processus de Bessel. Astérisque. 236:1996;249-276.
13. Revuz D., Yor M. Continuous Martingales and Brownian Motion. 1991;Springer-Verlag, Berlin.