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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 112, Number 1, Pages 124–131
DOI: https://doi.org/10.4213/tmf1033 (Mi tmf1033) 		 
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
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DOI: https://doi.org/10.4213/tmf1033
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
English version:
Theoretical and Mathematical Physics, 1997, Volume 112, Issue 1, Pages 892–898
DOI: https://doi.org/10.1007/BF02634105
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Language: Russian
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
Citation in format AMSBIB
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\paper On degenerate multidimensional dispersion laws
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\pages 124--131
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\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 112
\issue 1
\pages 892--898
\crossref{https://doi.org/10.1007/BF02634105}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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