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: https://doi.org/10.18514/MMN.2019.3040


Download: MMN-3040