research article

On the equation A del u plus (del u)(t) A = G

Bandyopadhyay, S.
•
Dacorogna, B.  
•
Strütt, D.  
July 1, 2020
Nonlinear Analysis-Theory Methods & Applications

Let Omega subset of R-n be an open set, A is an element of R-nxn and G : Omega -> R-nxn be given. We look for a solution u : Omega -> R-n of the equation

A del u + (del u)(t) A = G

We also study the associated Dirichlet problem. (C) 2020 Elsevier Ltd. All rights reserved.