Japan's Nikkei 225 is among the biggest gainers, up 2.3 percent. The broader Topix is just below, up 1.9 percent.
In South Korea, the Kospi climbs 0.9 percent.
The figures are somewhat milder in China, where Shanghai is up 0.2 percent while Shenzhen is down 0.1 percent.
The Hong Kong-based Hang Seng rises by 0.4 percent.
