Solutionsfondamentales de ut - 1/2 uxx = ±|ux

Asterisque

Volumn 236, Issue , 1996, Pages 41-71

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

^a UNIVERSITÉ HENRI POINCARÉ NANCY 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002175055     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article

References (12)

1. [B]M. BenArtzi: Global existence and decay for a nonlinear parabolic equation. Nonlinear Analysis, Theory, Methods & Applications, vol. 19, n°8, 763-768, (1992).
2. [BBP]S. Benachour, H. Brezis, M. Pierre: Communication privée.
3. d, d ≥ 2. J. Funct. Anal., à paraître.
4. [CW]M. Chipot, F. B. Weissler: Some blow-up results for a nonlinear parabolic equation with a gradient term. Siam J. Math. Anal, vol 20, n°4, 886-907, (1989).
5. N. J. Funct. Analysis 100, 119-161, (1991).
6. [KS]I. Karatzas, S. E. Shreve: Brownian motion and stochastic calculus. Graduate Texts in Math. Second Edition. Springer Verlag New-York, (1991).
7. P. L. Lions: Generalized solutions of Hamilton-Jacobi equation. Pitman Research notes in Math. 69, (1982).
8. [PL]M. Pierre, T. P. Liu: Source solutions and asymptotic behavior in conservation laws. J.Diff. Equations, 51,419-441, (1984).
9. [K]O. Kavian: Remarks on the large time behavior of a non linear diffusion equation. Ann. Inst. H. Poincaré, Anal, non linéaire 4, n°5, 423-452, (1987).
10. [GK]Y. Giga, T. Kambé: Large time behavior of the vorticity of two-dimensional viscous flows and its applications to vortex formation. Comm. Math. Phys. 117, 549-568, (1988).
11. O.A. Ladyzenskaya: The mathematical theory of viscous incompressible flows. Gordon and Breach, (1969).
12. [RY]D. Revuz, M. Yor: Continuous martingales and Brownian motion. Grundlehren der mathematischen Wissenschaften n°293. Springer Verlag. Berlin, (1991).