5 papers · 1 filter
Unique continuation for a non bi-Laplacian fourth order elliptic operator
Amrita Ghosh, Tuhin Ghosh
This paper discusses the unique continuation principal of the solutions of the following perturbed fourth order elliptic differential operator , where \[ \mat…
Semigroup theory for the Stokes operator with Navier boundary condition on spaces
Cherif Amrouche, Miguel Escobedo, Amrita Ghosh
We consider the incompressible Navier-Stokes equations in a bounded domain with boundary, completed with slip boundary condition. Apart from studying the genera…
Homogenization for non-local elliptic operators in both perforated and non-perforated domains
Loredana Balilescu, Amrita Ghosh, Tuhin Ghosh
In this paper, we focus on the homogenization process of the non-local elliptic boundary value problem $$\mathcal{L}_\varepsilon^s u_\varepsilon =(-\nabla\cdot (A_\varepsilon(x)\na…
Uniform estimate for elliptic operator with Robin boundary condition in domain
Cherif Amrouche, Carlos Conca, Amrita Ghosh +1
We consider the Robin boundary value problem in , domain, with $(A \nabla u - \mathbf{f})\cdot \mathbf{n}…
Stokes and Navier-Stokes equations with Navier boundary condition
Paul Acevedo, Cherif Amrouche, Carlos Conca +1
We study the stationary Stokes and Navier-Stokes equations with non-homogeneous Navier boundary condition in a bounded domain of class .…