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On degenerate multidimensional dispersion laws
D. D. Tskhakayaa, E. I. Shulmanb a Institute of Physics, Georgian Academy of Sciences
b Landau Institute for Theoretical Physics, Centre for Non-linear Studies
Abstract:
We study degeneration of multidimensional analytic at the vicinity dispersion laws given that the corresponding function of degeneracy satisfies condition (3). We prove that two-dimensional dispersion laws $\omega(p,q)$ can be degenerate with respect to the decay process $1\to2$ if and only if their asymptotic behaviour when $p$ and $q$ are small has the form (28). It is shown that the corresponding function of degeneracy is unique and its asymptotic behaviour is found.
Received: 10.02.1995
Citation:
D. D. Tskhakaya, E. I. Shulman, “On degenerate multidimensional dispersion laws”, TMF, 112:1 (1997), 124–131; Theoret. and Math. Phys., 112:1 (1997), 892–898
Linking options:
https://www.mathnet.ru/eng/tmf1033https://doi.org/10.4213/tmf1033 https://www.mathnet.ru/eng/tmf/v112/i1/p124
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