09-217 Dirk Hundertmark, Young-Ran Lee

ON NON-LOCAL VARIATIONAL PROBLEMS WITH LACK OF COMPACTNESS RELATED TO NON-LINEAR OPTICS (388K, pdf) Dec 23, 09

Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

Abstract. We give a simple proof of existence of solutions of the dispersion manage- ment and di raction management equations for zero average dispersion, respectively di raction. These solutions are found as maximizers of non-linear and non-local vari- ational problems which are invariant under a large non-compact group. Our proof of existence of maximizer is rather direct and avoids the use of Lions' concentration compactness argument or Ekeland's variational principle.

Files: 09-217.src( 09-217.keywords , existence-dms-6-3.pdf.mm )