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Hybrid ·Peer-reviewed·ISSN (Online): 2169-0103·ISSN (Print): 0252-2667

WoS  JIF 2026 : 0.4 (Q4)

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Open Access Research Article

Optimization for a parabolic system involving Schrödinger operator with coefficients of variables beneath conjugation conditions

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pp. 1305–1316Vol. 45Issue 5July 2024DOI: 10.47974/JIOS-1403XML
Received:
07 Sep 2022
Published Online:
12 Aug 2024
Article type:
Research Article
Language:
EN
Article no.:
JIOS-1403
Pages:
1305–1316

Abstract

This article is dedicated to the optimization for N×N parabolic system with mixed boundary conditions beneath conjugation conditions and including Schrödinger operator according to the maximum principle. Through Green’s formula, the properties of the first eigenvalues and the Lax-Milgram lemma, we provide evidence for the solutions to these systems’ existence and uniqueness. The maximum principle and the existence of a solution for a given linear parabolic system with variable coefficients are also topics of study.

Keywords

Subject Classifications

Primary 35K40Secondary 30C80

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