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most citedPeres-Horodecki separability criterion for continuous variable systems

2.2k citations

Showing 2019 · math.APShow all

5 papers · 2 filters

math.AP2019★ 6 cited

Long-term regularity of 3D gravity water waves

Fan Zheng

We study a fundamental model in fluid mechanics--the 3D gravity water wave equation, in which an incompressible fluid occupying half the 3D space flows under its own gravity. In th…

math.AP2019★ 41 cited

Bounded solutions of ideal MHD with compact support in space-time

Daniel Faraco, Sauli Lindberg, László Székelyhidi

We show that in 3-dimensional ideal magnetohydrodynamics there exist infinitely many bounded solutions that are compactly supported in space-time and have non-trivial velocity and…

math.AP2019★ 1 cited

The compactness and the concentration compactness via -capacity

T. V. Anoop, Ujjal Das

For and open, the Beppo-Levi space is the completion of with respect to the norm $\left( \int_Ω|\…

math.AP2019★ 12 cited

Transference of scale-invariant estimates from Lipschitz to Non-tangentially accessible to Uniformly rectifiable domains

Steve Hofmann, José María Martell, Svitlana Mayboroda

In relatively nice geometric settings, in particular, on Lipschitz domains, absolute continuity of elliptic measure with respect to the surface measure is equivalent to Carleson me…

math.AP2019★ 3 cited

Fatou-Type Theorems and Boundary Value Problems for Elliptic Systems in the Upper Half-Space

José María Martell, Dorina Mitrea, Irina Mitrea +1

We survey recent progress in a program aimed at proving general Fatou-type results and establishing the well-posedness of a variety of boundary value problems in the upper half-spa…