Increasing solutions of linear second-order equations with nonnegative characteristic form

In a layer H{0< t T, x Rⁿ we consider a linear second-order parabolic equation that degenerates on an arbitrary subset ¯H. It is assumed that the coefficient of the time derivative has a zero of sufficiently high order on the hyperplane t=0; as a consequence, the Cauchy problem will be unsolvable. The exact bounds are obtained of the permissible growth of the sought-for function when ¦x¦ , ensuring a single-valued solution of the problem without initial data.Translated from Matematicheskie Zametki, Vol. 3, No. 2, pp. 171–178, February, 1968.     

Isobaric thermoanalytical study of the decomposition process of interstitial graphite-Iron(III) chloride compounds

First-step and second-step interstitial graphite-FeCl₃ compounds were studied by isobaric thermal analysis in the temperature interval of 298 ... 750 K and pressure interval of 10 ... 700 Torr. ΔH ⁰ and ΔS ⁰ values were obtained for the processes C₆FeCI₃ → 0.5 C₁₂FeCI₃ + 0.5 FeCl₃(s) C₆FeCl₃ → 6C + FeCl₃(s) and C₁₂FeCl₃ → 12 C + FeCl₃(s) It was demonstrated that the thermal decomposition process of the interstitial graphite compounds investigated proceeds in stages. Temperature dependence of the heat capacity of the studied compounds was determined in the temperature interval of 298 ... 570 K.     

Low-energy pion-nucleus potential in the extended tree-level model for the pion-nucleon interaction

Starting from the extended tree-level model for theπN interaction [1] (hereafter ETLM) we demonstrated that the observed local pion-nucleus repulsion arises from the reduction of baryon masses in nucleus due to strong scalar nuclear field [2]. This is rather convincing argument in favour of nuclear relativism because such repulsion has no explanation within the traditional nonrelativistic approach to nucleus. Communicated by V.V. Anisovich     

Raman effects in the infrared supercontinuum generation in soft-glass PCFs

Measurements of the Raman gain spectra in the SF6 and SF57 highly nonlinear glasses demonstrated twice as high Raman shift in comparison with the fused silica. Numerical simulation predicted that a large Raman shift in combination with high nonlinearity can significantly reduce the required input pulse intensity for supercontinuum in these glasses, retaining the necessary degree of coherence. We found that the degradation of the SC coherence due to Raman soliton jitter can be effectively controlled by a correct choice of input intensity and fiber length. Also it was found that a high degree of coherence correlates with the spectrum shape in the vicinity of the Raman threshold, providing an convenient experimental observable. PACS 42.65.Tg; 42.81.Dp; 42.72.Ai