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Showing 2010 · math.APShow all
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math.AP2010★ 1 cited
Blow-up solutions on a sphere for the 3d quintic NLS in the energy space
Justin Holmer, Svetlana Roudenko
We prove that if is a log-log blow-up solution, of the type studied by Merle-Raphaël (2001-2005), to the critical focusing NLS equation $i\partial_t u +Δu + |u|^{4/d}…
math.AP2010★ 17 cited
Partial Schauder estimates for second-order elliptic and parabolic equations
Hongjie Dong, Seick Kim
We establish Schauder estimates for both divergence and non-divergence form second-order elliptic and parabolic equations involving Hölder semi-norms not with respect to all, but o…