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Non-convex self-dual Lagrangians and variational principles for certain PDE's

Moameni, A ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.crma.2011.01.028
  3. Abstract:
  4. We study the concept and the calculus of non-convex self-dual (Nc-SD) Lagrangians and their derived vector fields which are associated to many partial differential equations and evolution systems. They yield new variational resolutions for large class of partial differential equations with variety of linear and non-linear boundary conditions including many of the standard ones. This approach seems to offer several useful advantages: It associates to a boundary value problem several potential functions which can often be used with relative ease compared to other methods such as the use of Euler-Lagrange functions. These potential functions are quite flexible, and can be adapted to easily deal with both non-linear and homogeneous boundary value problems
  5. Keywords:
  7. Source: Comptes Rendus Mathematique ; Volume 349, Issue 7-8 , 2011 , Pages 417-420 ; 1631073X (ISSN)
  8. URL: http://www.sciencedirect.com/science/article/pii/S1631073X11000458