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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 147, Number 3, Pages 470–478
DOI: https://doi.org/10.4213/tmf1988 (Mi tmf1988) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A hierarchy of generalized invariants for linear partial differential operators

E. A. Kartashova

Johannes Kepler University Linz
Full-text PDF (353 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf1988
Abstract: We study invariants of linear partial differential operators in two variables under gauge transformations. Using the Beals–Kartashova factorization, we construct a hierarchy of generalized invariants for operators of an arbitrary order. We study the properties of these invariants and give some examples. We also show that the classic Laplace invariants correspond to some particular cases of generalized invariants.
Keywords: linear partial differential operator, Beals–Kartashova factorization, generalized invariant, hierarchy of invariants.
Received: 23.09.2005
Revised: 25.11.2005
English version:
Theoretical and Mathematical Physics, 2006, Volume 147, Issue 3, Pages 839–846
DOI: https://doi.org/10.1007/s11232-006-0079-4
Bibliographic databases:
Language: Russian
Citation: E. A. Kartashova, “A hierarchy of generalized invariants for linear partial differential operators”, TMF, 147:3 (2006), 470–478; Theoret. and Math. Phys., 147:3 (2006), 839–846
Citation in format AMSBIB
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\paper A hierarchy of generalized invariants for linear partial differential
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    • This publication is cited in the following 3 articles:
    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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