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arXiv · 2001.11970

On the problem of maximal $L^q$-regularity for viscous Hamilton-Jacobi equations

Marco Cirant·Alessandro Goffi
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Abstract

For $q>2, γ> 1$, we prove that maximal regularity of $L^q$ type holds for periodic solutions to $-Δu + |Du|^γ= f$ in $\mathbb{R}^d$, under the (sharp) assumption $q > d \frac{γ-1}γ$.

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Marco Cirant, Alessandro Goffi. 2020-05-16. On the problem of maximal $L^q$-regularity for viscous Hamilton-Jacobi equations. https://doi.org/10.1007/s00205-021-01641-8

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