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To be precise, generalizing non-degenerate double characteristics, we define non degenerate characteristics of any order.
Based on engineering ceramics surface of RUGM is typical isotropic, the mathematical model of fractal root mean square deviation was established, and it possesses double characteristics of absolute measurement and multi-scale.
Recently, another class of hyperbolic second order operators with double characteristics has been considered in [2].
In this paper, we study the general class of hyperbolic second order operators with double characteristics in the presence of a transition (1).
The paper deals with the study of the Cauchy problem for a class of hyperbolic second order operators with double characteristics in the presence of a transition.
The Cauchy problem for hyperbolic operators with double characteristics has been widely studied by many authors either in the case in which (F_{p}(rho)) has two real nonzero eigenvalues (forall rho inSigma) or in the case in which all the nonzero eigenvalues of (F_{p}(rho)) are purely imaginary numbers, (forallrhoinSigma) (see for instance [1, 3 9]).
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Let p be the principal symbol of a hyperbolic (pseudo) differential operator of order m admitting at most double characteristic roots.
At its most significant, the invasion had the double characteristic of Russia maximizing its capacity to exercise a veto over the West's security interests, while the West, divided and without clear leadership, sought to minimize the obvious importance of the event.
Suppose that at each point ρ of the double characteristic manifold Σ of p the Hamiltonian matrix of p, Fp, hasa Jordan block of dimension 4. We prove a necessary and sufficient condition on p in order that its bicharacteristic curves have limit points belonging to Σ.
The spectra of Ag NWs appear double characteristic peaks.
This double characteristic brings us to Bergson's method of intuition.
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