In this paper we prove a conjecture by P.-L. Lions on maximal regularity of Lq-type for periodic solutions to - Δ u+ | Du| γ= f in Rd, under the (sharp) assumption that q>dγ-1γ.
On the Problem of Maximal Lq -regularity for Viscous Hamilton–Jacobi Equations / Cirant M.; Goffi A.. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - STAMPA. - 240:(2021), pp. 1521-1534. [10.1007/s00205-021-01641-8]
On the Problem of Maximal Lq -regularity for Viscous Hamilton–Jacobi Equations
Goffi A.
2021
Abstract
In this paper we prove a conjecture by P.-L. Lions on maximal regularity of Lq-type for periodic solutions to - Δ u+ | Du| γ= f in Rd, under the (sharp) assumption that q>dγ-1γ.
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