91 citations · 266 across the 35 of their papers we have counts for
4 papers · 1 filter
A short proof of the existence of the solution to elliptic boundary problem
A. G. Ramm
There are several methods for proving the existence of the solution to the elliptic boundary problem . Here is an elliptic ope…
Scattering of electromagnetic waves by small impedance particles of an arbitrary shape
Alexander G. Ramm
An explicit formula is derived for the electromagnetic (EM) field scattered by one small impedance particle of an arbitrary shape. If is the characteristic size of the part…
Existence of the solution to electromagnetic wave scattering problem for an impedance body of an arbitrary shape
Alexander G. Ramm, Martin Schechter
A new proof is given of the existence of the solution to electromagnetic (EM) wave scattering problem for an impedance body of an arbitrary shape. The proof is based on the ellipti…
Existence and uniqueness of the global solution to the Navier-Stokes boundary problem
Alexander G. Ramm
A proof is given of the global existence and uniqueness of a weak solution to Navier-Stokes boundary problem. The proof is short and essentially self-contained.