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A novel method in determining a layered periodic structure

A novel method in determining a layered periodic structure

Abstract This paper is concerned with the inverse scattering of time-harmonic waves by a penetrable structure. By applying the integral equation method, we establish the uniform $L^{p}_{\alpha }\ (1&lt; p\leq 2)$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>L</mml:mi> <mml:mi>α</mml:mi> <mml:mi>p</mml:mi> </mml:msubsup> <mml:mspace /> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>&lt;</mml:mo> <mml:mi>p</mml:mi> <mml:mo>≤</mml:mo> <mml:mn>2</mml:mn> <mml:mo>)</mml:mo> </mml:math> estimates for …