Hedong Hou

activity

20232026

most citedOn well-posedness for parabolic Cauchy problems of Lions type with rough initial data

2 citations · 4 across the 6 of their papers we have counts for

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math.AP2024★ 1 cited

On regularity of solutions to the Navier--Stokes equation with initial data in $BMO^{- 1}$

Hedong Hou

We prove that any mild solution in the Koch--Tataru space to the incompressible Navier--Stokes equation with initial data in $BMO^{- 1}$ is weak*-continuous in time, valued…

math.AP2024★ 2 cited

On well-posedness for parabolic Cauchy problems of Lions type with rough initial data

Pascal Auscher, Hedong Hou

We establish a complete picture for well-posedness of parabolic Cauchy problems with time-independent, uniformly elliptic, bounded measurable complex coefficients. We exhibit a ran…

On regularity of solutions to the Navier--Stokes equation with initial data in BMO−1

On well-posedness for parabolic Cauchy problems of Lions type with rough initial data

On regularity of solutions to the Navier--Stokes equation with initial data in $BMO^{- 1}$