Publication Details:
Journal or Publication Title:
Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես
Date of publication:
Volume:
Number:
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Title:
Creator:
Nguyen Du Vi Nhan ; Dinh Thanh Duc ; Vu Kim Tuan
Corporate Creators:
Department of mathematics, Quy Nhon University, Binh Dinh, Vietnam. ; Department of mathematics, University of West Georgia, Carrollton, GA30118, USA
Contributor(s):
Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան
Subject:
Partial differential equations ; Integral transforms, operational calculus
Coverage:
Abstract:
In this paper we introduce several iterated convolutions and establish weighted $L_p,\ p > 1,-$ norm inequalities for them by using the H\"{o}lder’s inequality and the transform of integrals. Applications to wave and heat equations, Klein-Gordon equation are also considered. Especially, we will see their applications to inhomogeneous differential equations.
Publisher:
National Academy of Sciences of Armenia
Date created:
Type:
Format:
General note:
Electronic Open Access Publication of the National Academy of Sciences of Armenia
Digitization:
ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան