On degenerate multidimensional dispersion laws

D. D. Tskhakaya^a, E. I. Shulman<sup>b

a</sup> 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

DOI: 10.4213/tmf1033

 English version: Theoretical and Mathematical Physics, 1997, 112:1, 892–898

Bibliographic databases:

• 
• 
•