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On Simple-Layer Potentials for One Class of Pseudodifferential Equations

We construct single-layer potentials for a class of pseudodifferential equations connected with symmetric stable stochastic processes. An operator similar to the operator of gradient in the classical potential theory is selected and an analog of the classical theorem on the jump of (co)normal deriva...

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Datum:	2015
Hauptverfasser:	Osipchuk, M. M., Portenko, N. I., Осипчук, М. М., Портенко, М. І.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2015
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/2086
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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