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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2014 Volume 55, Number 3, Pages 690–700 (Mi smj2563)

This article is cited in 9 papers

Some properties of the operators generated by a derivative of the acoustic double layer potential

E. H. Khalilov

Azerbaijan Oil Academy, Baku, Azerbaijan

Abstract: We give a formula for calculating a derivative of the acoustic double layer potential and prove boundedness of the operator generated by a derivative in generalized Hölder spaces.

Keywords: Helmholtz equation, acoustic double layer potential, derivative of the acoustic potential, singular surface integral, generalized Hölder space.

UDC: 517.2+519.64

Received: 26.09.2013


 English version:
Siberian Mathematical Journal, 2014, 55:3, 564–573

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© Steklov Math. Inst. of RAS, 2026