32 citations · 122 across the 36 of their papers we have counts for
38 papers
A simple proof of the closed graph theorem
A. G. Ramm
Assume that is a closed linear operator defined on all of a Hilbert space . Then is bounded. A new short proof of this classical theorem is given on the basis of the uni…
Heat transfer in a medium in which many small particles are embedded
A. G. Ramm
The heat equation is considered in the complex system consisting of many small bodies (particles) embedded in a given material. On the surfaces of the small bodies a Newton-type bo…
Electromagnetic Wave Scattering by Small Impedance Particles of an Arbitrary Shape
A. G. Ramm
Scattering of electromagnetic (EM) waves by one and many small () impedance particles of an arbitrary shape, embedded in a homogeneous medium, is studied. Analytic f…
Spectral properties of Schrödinger-type operators and large-time behavior of the solutions to the corresponding wave equation
A. G. Ramm
Let be a linear, closed, densely defined in a Hilbert space operator, not necessarily selfadjoint. Consider the corresponding wave equations &(1) \quad \ddot{w}+ Lw=0, \quad w(…
Inverse scattering problem for the Maxwell's equations
A. G. Ramm
Inverse scattering problem is discussed for the Maxwell's equations. A reduction of the Maxwell's system to a new Fredholm second-kind integral equation with a {\it scalar weakly s…
Scattering of electromagnetic waves by many thin cylinders: theory and computational modeling
A. G. Ramm, M. I. Andriychuk
Electromagnetic (EM) wave scattering by many parallel infinite cylinders is studied asymptotically as a tends to 0, where a is the radius of the cylinders. It is assumed that the c…