In a recent study, Hölder and Lipschitz estimates for viscosity solutions of a large class of elliptic and parabolic nonlinear integro-differentialequations has been formed, by the classical Ishii–Lionsʼs method. The researchers thus extended the Hölder regularity results recently obtained by Barles, Chasseigne and Imbert (2011). In addition, this study deals with a new class of nonlocal equations that termed as mixed integro-differentialequations. These equations are particularly interesting, as they are degenerate both in the local and nonlocal term, but their overall behavior is driven by the local–nonlocal interaction, e.g. the fractional diffusion may give the ellipticity in one direction and the classical diffusion in the complementary one.

written by Journal of Applied and Computational Mathematics

With a Greek exit from the euro zone now widely seen as a foregone conclusion, it is worth reflecting on the following:

• Polls show more than 70% of Greeks don’t want to dump the euro.
• Angela Merkel and most other euro-zone leaders, although regretting the day they let Greece into their club, are terrified of the financial contagion its exit might bring.
• None of the three main parties vying for control of the Greek government are advocating a euro exit.

The Institute of International Finance, which represents the world’s biggest banks, is lobbying hard for Greece to stay in the monetary union. Greece’s finances aren’t subject to market pressure in the way that Spain’s are because its debt refinancing needs are currently covered by the European Financial Stability Facility and the International Monetary Fund.

It isn’t clear that either man’s advice is of much use to Greece at this late stage. But in their own way, each homes in on what is needed: leaders who look beyond short-term political costs and decide what is truly best for society. Whether Greece leaves the euro or not, if the decision is made under those conditions, it will be for the better.

written by Journal of Stock and Forex Trading

The human rights situation in Iraq remains fragile as the country continues its transition to peace and democracy after years of violence, according to a United Nations report, which noted that Government efforts to protect and promote the rights of its citizens need to be increased.

The report is a periodic one on the Middle Eastern country’s human rights situation, prepared by the UN Assistance Mission for Iraq (UNAMI) – in cooperation with the Office of the UN High Commissioner for Human Rights (OHCHR).

The report recognizes that the Government has made progress in implementing measures to improve the situation, but notes that the impact of these measures is still limited.

The report indicates that the overall human rights situation in the Kurdistan Region has improved, in particular due to legislative reforms undertaken by the Kurdistan regional government. However, concerns remain about deficiencies in respect for freedom of assembly, freedom of expression and the protection of journalists.

written by Journal of Civil and Legal Sciences