MMN-3040
Intermediate regularity results for the solution of a high order parabolic equation
Arezki Kheloufi;Abstract
In this work we give new intermediate regularity results for the solution of the following $2m$-th order parabolic equation
$$
\partial _{t}u+\left( -1\right)^{m}\sum_{i=1}^{n}\partial _{x_{i}}^{2m}u=0,
$$
where $m$ is a positive integer, subject to Dirichlet condition on the lateral boundary of a cylindrical domain and to a non-homogeneous initial Cauchy data.
Vol. 20 (2019), No. 2, pp. 1013-1019
DOI: 10.18514/MMN.2019.3040