O. R. Pembery

collaborators

2 papers

math.AP2018

The Helmholtz equation in random media: well-posedness and a priori bounds

O. R. Pembery, E. A. Spence

We prove well-posedness results and a priori bounds on the solution of the Helmholtz equation $\nabla \cdot (A \nabla u) + k^{2} n u = - f$ , posed either in $R^{d}$ or in the exte…

math.AP2018

The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances

Ivan G. Graham, Owen R. Pembery, Euan A. Spence

We consider the exterior Dirichlet problem for the heterogeneous Helmholtz equation, i.e. the equation $\nabla \cdot (A \nabla u) + k^{2} n u = - f$ where both $A$ and $n$ are functions…