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research
On the problem of maximal
L
q
L^q
L
q
-regularity for viscous Hamilton-Jacobi equations
Authors
Marco Cirant
Alessandro Goffi
Publication date
16 May 2020
Publisher
Doi
Cite
View
on
arXiv
Abstract
For
q
>
2
,
γ
>
1
q>2, \gamma > 1
q
>
2
,
γ
>
1
, we prove that maximal regularity of
L
q
L^q
L
q
type holds for periodic solutions to
−
Δ
u
+
∣
D
u
∣
γ
=
f
-\Delta u + |Du|^\gamma = f
−
Δ
u
+
∣
D
u
∣
γ
=
f
in
R
d
\mathbb{R}^d
R
d
, under the (sharp) assumption
q
>
d
γ
−
1
γ
q > d \frac{\gamma-1}\gamma
q
>
d
γ
γ
−
1
.Comment: 11 page
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Archivio istituzionale della ricerca - Università di Padova
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Last time updated on 11/06/2021