Iterations of anti-selfdual Lagrangians and applications to Hamiltonian systems and multiparameter gradient flows

Calculus of Variations and Partial Differential Equations

Volumn 26, Issue 4, 2006, Pages 511-534

  Ghoussoub, Nassif ^a   Tzou, Leo ^b  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33744525364     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-006-0021-5     Document Type: Article

References (10)

1. Brezis, H., Ekeland, I.: Un principe variationnel associé à certaines equations paraboliques. Le cas independant du temps. C.R. Acad. Sci. Paris Sér. A 282, 971-974 (1976)
2. Brezis, H., Ekeland, I.: Un principe variationnel associé à certaines equations paraboliques. Le cas dependant du temps. C.R. Acad. Sci. Paris Sér. A 282, 1197-1198 (1976)
3. Brezis, H.: Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert. North Holland, Amsterdam-London (1973)
4. Ghoussoub, N.: A theory of anti-selfdual Lagrangians: Dynamical case. C.R. Acad. Sci., Paris, Ser. I 340, 325-330 (2005).
5. Ghoussoub, N.: Anti-selfdual Lagrangians: Variational resolutions of non self-adjoint equations and dissipative evolutions. A.I.H.P, Analyse non-linéaire, p. 34 (2005)
6. Ghoussoub, N.: Anti-selfdual Hamiltonians: Variational resolution for Navier-Stokes equations and other nonlinear evolutions. Comm. Pure Applied Math., p. 25 (2005)
7. Ghoussoub, N.: A class of selfdual partial differential equations and its variational principles. Submitted (2006)
8. Ghoussoub, N., Moameni, A.: On the existence of Hamiltonian paths connecting Lagrangian submanifolds. Submitted (2005)
9. Ghoussoub, N., Tzou, L.: A variational principle for gradient flows. Math. Annalen 30(3), 519-549 (2004)
10. Ghoussoub, N., Tzou, L.: Anti-selfdual Lagrangians II: Unbounded non self-adjoint operators and evolution equations. Submitted, p. 30 (2005)