On a Darboux type multidimensional problem for second-order hyperbolic systems.
Kharibegashvili, S. (1996)
Georgian Mathematical Journal
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Kharibegashvili, S. (1996)
Georgian Mathematical Journal
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Kostov, Vladimir (2002)
Serdica Mathematical Journal
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∗ Research partially supported by INTAS grant 97-1644 A real polynomial of one real variable is hyperbolic (resp. strictly hyperbolic) if it has only real roots (resp. if its roots are real and distinct). We prove that there are 116 possible non-degenerate configurations between the roots of a degree 5 strictly hyperbolic polynomial and of its derivatives (i.e. configurations without equalities between roots). The standard Rolle theorem allows 286 such configurations. To...
Kharibegashvili, S. (1998)
Georgian Mathematical Journal
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Emilija Nešović (2005)
Kragujevac Journal of Mathematics
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Kharibegashvili, S. (1997)
Georgian Mathematical Journal
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Jokhadze, O. (1998)
Georgian Mathematical Journal
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Jokhadze, O. (1996)
Georgian Mathematical Journal
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Kharibegashvili, S. (1995)
Georgian Mathematical Journal
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Michael Ruzhansky, James Smith (2005)
Journées Équations aux dérivées partielles
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Global time estimates of norms of solutions to general strictly hyperbolic partial differential equations are considered. The case of special interest in this paper are equations exhibiting the dissipative behaviour. Results are applied to discuss time decay estimates for Fokker-Planck equations and for wave type equations with negative mass.
Riesinger, Rolf (2005)
Beiträge zur Algebra und Geometrie
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Jokhadze, O. (1995)
Georgian Mathematical Journal
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