On Non-local Variational Problems with Lack of Compactness Related to Non-linear Optics
نویسندگان
چکیده
منابع مشابه
On Non-local Variational Problems with Lack of Compactness Related to Non-linear Optics
We give a simple proof of existence of solutions of the dispersion management and diffraction management equations for zero average dispersion, respectively diffraction. These solutions are found as maximizers of non-linear and non-local variational 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’ con...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Science
سال: 2011
ISSN: 0938-8974,1432-1467
DOI: 10.1007/s00332-011-9106-1