Local and Global Well-posedness of the fractional order EPDiff equation on ${\mathbb{R}}^d$

Martin Bauer, Joachim Escher, Boris Kolev

Of concern is the study of fractional order Sobolev--type metrics on the group of $H^{\infty }$-diffeomorphism of ${\mathbb{R}}^d$ and on its Sobolev completions $\mathcal{D}^{q}(\m…