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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 192, Number 3, Pages 459–472
DOI: https://doi.org/10.4213/tmf9329 (Mi tmf9329) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Lie–Poisson structures over differential algebras

V. V. Zharinov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (469 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf9329
Abstract: Based on key elements of Olver's approach to partial differential equations for Hamiltonian evolution, we propose an algebraic construction appropriate for Hamiltonian evolutionary systems with constraints.
Keywords: differential algebra, differential bicomplex, Lie–Poisson structure, Hamiltonian map, Hamiltonian evolution system of partial differential equations, constraint.
Received: 09.01.2017
English version:
Theoretical and Mathematical Physics, 2017, Volume 192, Issue 3, Pages 1337–1349
DOI: https://doi.org/10.1134/S0040577917090057
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Zharinov, “Lie–Poisson structures over differential algebras”, TMF, 192:3 (2017), 459–472; Theoret. and Math. Phys., 192:3 (2017), 1337–1349
Citation in format AMSBIB
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    This publication is cited in the following 6 articles:
    1. A. K. Gushchin, “Extensions of the space of continuous functions and embedding theorems”, Sb. Math., 211:11 (2020), 1551–1567  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    2. A. K. Gushchin, “The boundary values of solutions of an elliptic equation”, Sb. Math., 210:12 (2019), 1724–1752  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    3. A. K. Gushchin, “On the Existence of L2 Boundary Values of Solutions to an Elliptic Equation”, Proc. Steklov Inst. Math., 306 (2019), 47–65  mathnet  crossref  crossref  mathscinet  isi  elib
    4. V. V. Zharinov, “Hamiltonian operators with zero-divergence constraints”, Theoret. and Math. Phys., 200:1 (2019), 923–937  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    5. A. K. Gushchin, “A criterion for the existence of Lp boundary values of solutions to an elliptic equation”, Proc. Steklov Inst. Math., 301 (2018), 44–64  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    6. V. V. Zharinov, “Hamiltonian operators in differential algebras”, Theoret. and Math. Phys., 193:3 (2017), 1725–1736  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :139
    References:59
    First page:26
     
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