A variational principle for nonlinear transport equations
نویسنده
چکیده
We verify -after appropriate modificationsan old conjecture of Brezis-Ekeland [3] concerning the feasibility of a global and variational approach to the problems of existence and uniqueness of solutions of non-linear transport equations, which do not normally fit in an Euler-Lagrange framework. Our method is based on a concept of “anti-self duality” that seems to be inherent in many problems, including gradient flows of convex energy functionals treated in [9] and other parabolic evolution equations ([6] and ([10]).
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