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19932026
most citedThe Cosmological Constant and Dark Energy

5.2k citations

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math-ph2018★ 10 cited

Multiparameter Schur -Functions Are Solutions of the BKP Hierarchy

Natasha Rozhkovskaya

We prove that multiparameter Schur -functions, which include as specializations factorial Schur -functions and classical Schur -functions, provide solutions of the BKP hie…

math-ph2016

Heat transfer in a complex medium

A. G. Ramm

The heat equation is considered in the complex medium consisting of many small bodies (particles) embedded in a given material. On the surfaces of the small bodies an impedance bou…

math-ph2016★ 3 cited

Scattering of EM waves by many small perfectly conducting or impedance bodies

A. G. Ramm

A theory of electromagnetic (EM) wave scattering by many small particles of an arbitrary shape is developed. The particles are perfectly conducting or impedance. For a small impeda…

math-ph2016

Inverse scattering on the half-line revisited

A. G. Ramm

The inverse scattering problem on the half-line has been studied in the literature in detail. V. Marchenko presented the solution to this problem. In this paper, the invertibility…

math-ph2014★ 6 cited

Electromagnetic wave scattering by small perfectly conducting particles and applications

Alexander G. Ramm

A formula for the electromagnetic (EM) field in the medium, in which many small perfectly conducting particles of an arbitrary shape are distributed, is derived.

math-ph2012★ 1 cited

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…