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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2 papers · 1 filter

math.AP2023★ 1 cited

On well-posedness and maximal regularity for parabolic Cauchy problems on weighted tent spaces

Pascal Auscher, Hedong Hou

We prove well-posedness in weighted tent spaces of weak solutions to the Cauchy problem $\partial_{t} u - div A \nabla u = f, u (0) = 0$ , where the source $f$ also lies in (dif…

math.AP2023

On representation of solutions to the heat equation

Pascal Auscher, Hedong Hou

We propose a simple method to obtain semigroup representation of solutions to the heat equation using a local $L^{2}$ condition with prescribed growth and a boundedness condition wit…