Interior Boundaries for Degenerate Elliptic Equations of Second Order Some Theory and Numerical Observations

2010 Mathematics Subject Classification: Primary 35J70; Secondary 35J15, 35D05.For boundary value problems for degenerate-elliptic equations of second order in ⊂ Rn there are cases when a closed surface exists, dividing into two subdomains in such a manner that two new correct boundary value problems can be formulated without introducing new boundary conditions. Such surfaces are called interior boundaries. Some theoretical results regarding the connections between the solutions of the original problem and the two new problems are given. Some numerical experiments using the finite elements method are carried out trying to visualize the effects of the presence of such interior boundary when n = 2. Also some more precise study of the solutions in the case n = 2 is presented

DIAGNOSTIC AND TREATMENT TACTICS IN MECHANIC JAUNDICE

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Comparative analysis of C-heterochromatin, ribosomal and telomeric DNA markers in chromosomes of Pamphagidae grasshoppers from Morocco

The karyotypes and the localization of C-bands, clusters of ribosomal DNA and telomeric repeats of 10 species of the family Pamphagidae from Morocco are described for the first time. The species studied belong to the subfamilies Pamphaginae and Thrinchinae. All species have karyotypes consisting of 19 and 20 acrocentric chromosomes and X0/XX sex chromosome system in males and females, respectively (2n♂=19, NF=19; 2n♀=20, NF=20). Despite the karyotype conservatism, we revealed differences in the location and size of C-heterochromatin blocks and ribosomal DNA clusters. A comparative analysis of these differences shows that karyotype divergences in this group is connected not to structural chromosome rearrangements, but to the evolution of repetitive DNA

The Rise of the Transaction Sector in the Bulgarian Economy

The paper explores the dynamics of the transaction sector in the Bulgarian economy. We use the measuring strategy developed by Wallis and North in 1986. The calculations show an increase in the transaction sector in the country within the period 1997–2003 from about 37% to more than 52% of GDP. Although this is below the size reported for other industrialised and transition economies, it indicates a fundamental institutional change within a short period of time. Comparative Economic Studies (2007) 49, 683–698. doi:10.1057/palgrave.ces.8100226