Existence of finite-time splash singularity for a collapsing bubble in Navier-Stokes free boundary problem with surface tension, via δ-wing domain construction.
A sparse domination principle for rough singular integrals
3 Pith papers cite this work. Polarity classification is still indexing.
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Computer-assisted proof shows that the linearized operator around threefold symmetric traveling waves in the Burgers-Hilbert equation has an eigenvalue with negative real part for ω=3 and c≈1.1.
Obtains pointwise sparse bounds for rough pseudodifferential operators with measurable spatial symbols and gives sufficient conditions that recover known sparse bounds for symbols in S^0_{1,δ} with δ < 1.
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Some More Sparse Bounds for Rough and Smooth Pseudodifferential Operators
Obtains pointwise sparse bounds for rough pseudodifferential operators with measurable spatial symbols and gives sufficient conditions that recover known sparse bounds for symbols in S^0_{1,δ} with δ < 1.