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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2020 Number 10, Pages 3–11 (Mi ivm9614)
This article is cited in 1 paper

General solution of a second-order partial differential equation in a Banach space with potential singular on manifolds

T. N. Alikulov

National University of Uzbekistan naimed after M.Ulugbek, 4 Universitetskaya str., Tashkent, 100174 Republic of Uzbekistan

Abstract: In this work, we study the general solution of a second-order partial differential equation in a Banach space with a potential singular on the manifolds.

Keywords: fractional powers, elliptic operator, weakened solutions, generalized solutions, positive operator, Banach space.

UDC: 517.95

Received: 23.11.2019
Revised: 16.05.2020
Accepted: 29.06.2020

DOI: 10.26907/0021-3446-2020-10-3-11


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2020, 64:10, 1–8

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© Steklov Math. Inst. of RAS, 2024