Abstract
We prove the existence of a classical weak solution for the 2-D incompressible Euler equations with initial vorticity ω0=ω0′ + ω0″, where ω0′ is inL1(R2)⌢H−1(R2), compactly supported, and ω0″ is a compactly supported positive Radon measure inH−1(R2).
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