8 citations · 14 across the 17 of their papers we have counts for
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The Pompeiu problem
A. G. Ramm
Let , where is the Schwartz class of distributions, and where $…
Large-time behavior of solutions to evolution problems
A. G. Ramm
Large time behavior of solutions to abstract differential equations is studied. The corresponding evolution problem is: $$\dot{u}=A(t)u+F(t,u)+b(t), \quad t\ge 0; \quad u(0)=u_0. \…
Many-body wave scattering problems in the case of small scatterers
A. G. Ramm
Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogen…
Scattering of electromagnetic waves by many nanowires
A. G. Ramm
Electromagnetic wave scattering by many parallel to axis, thin, impedance, circular infinite cylinders is studied asymptotically as . Let be the crossection of th…
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…
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…