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On symmetrizability of hyperbolic matrix spaces
Author(s):
E.
Yu.
Panov
Translated by:
The author
Original publication:
Algebra i Analiz,
tom 20
(2008),
nomer 3.
Journal:
St. Petersburg Math. J.
20
(2009),
465-471.
MSC (2000):
Primary 15A30, 15A06
Posted:
April 8, 2009
MathSciNet review:
2454456
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Abstract:
A new symmetrizability criterion for linear matrix spaces is proposed, with applications to the theory of first order conservation laws.
References:
-
- 1.
- M. Goto and F. D. Grosshans, Semisimple Lie algebras, Lecture Notes in Pure and Appl. Math., vol. 38, Marcel Dekker, Inc., New York-Basel, 1978. MR 0573070 (58:28084)
- 2.
- J.-P. Serre, Lie algebras and Lie groups, W. A. Benjamin, Inc., New York-Amsterdam, 1965. MR 0218496 (36:1582)
- 3.
- E. Yu. Panov, On a class of systems of quasilinear conservation laws, Mat. Sb. 188 (1997), no. 5, 85-112; English transl., Sb. Math. 188 (1997), no. 5, 725-751. MR 1478631 (98m:35128)
- 4.
- -, On a nonlocal theory of generalized entropy solutions of the Cauchy problem for a class of hyperbolic systems of conservation laws, Izv. Ross. Akad. Nauk Ser. Mat. 63 (1999), no. 1, 133-184; English transl., Izv. Math. 63 (1999), no. 1, 129-179. MR 1701842 (2000e:35140)
- 5.
- -, On the symmetrizability of first-order hyperbolic systems, Dokl. Akad. Nauk 396 (2004), no. 1, 28-31; English transl. in Dokl. Math. MR 2115906
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Additional Information:
E.
Yu.
Panov
Affiliation:
Novgorod State University, Russia
Email:
Eugeny.Panov@novsu.ru
DOI:
10.1090/S1061-0022-09-01056-5
PII:
S 1061-0022(09)01056-5
Keywords:
Hyperbolic matrix space,
spectrum,
symmetrizable system
Received by editor(s):
29/JAN/2007
Posted:
April 8, 2009
Additional Notes:
Supported by RFBR (grant no. 06-01-00289) and by Deutsche Forschungsgemeinschaft (DFG project no. 436 RUS 113/895/0-1).
Copyright of article:
Copyright
2009,
American Mathematical Society
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