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Когомологические аспекты геометрии дифференциальных уравнений
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Lagrangian formalism and the intrinsic geometry of PDEs K. P. Druzhkov |
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Аннотация: This report is an attempt to answer the following question. Where exactly does a differential equation contain information about its variational nature? Apparently, in the general case, the concept of a presymplectic structure as a closed variational 2-form may not be sufficient to describe variational principles in terms of intrinsic geometry. I will introduce the concept of an internal Lagrangian and relate it to the Vinogradov C-spectral sequence. Язык доклада: английский Website: https://arxiv.org/abs/2211.15179 |