Existence and blowup of solutions for non-divergence polytropic variation-inequality in corn option trading

This paper focuses on a class of variation-inequality problems involving non-divergence polytropic parabolic operators. The penalty method is employed, along with the Leray Schauder fixed point theory and limit progress, to determine the existence of solutions. The study also delves into the blow-up...

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Main Authors: Jia Li, Changchun Bi
Format: Article
Language:English
Published: AIMS Press 2023-05-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023856?viewType=HTML
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author Jia Li
Changchun Bi
author_facet Jia Li
Changchun Bi
author_sort Jia Li
collection DOAJ
description This paper focuses on a class of variation-inequality problems involving non-divergence polytropic parabolic operators. The penalty method is employed, along with the Leray Schauder fixed point theory and limit progress, to determine the existence of solutions. The study also delves into the blow-up phenomena of the solution, revealing that under certain conditions, the solution will blow up in finite time.
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spelling doaj.art-696b720364ed433a96bbedc089209e6a2023-05-30T01:40:17ZengAIMS PressAIMS Mathematics2473-69882023-05-0187167481675610.3934/math.2023856Existence and blowup of solutions for non-divergence polytropic variation-inequality in corn option tradingJia Li0Changchun Bi1School of Management, Shenyang Urban Construction University, Shenyang, Liaoning, 110167, ChinaSchool of Management, Shenyang Urban Construction University, Shenyang, Liaoning, 110167, ChinaThis paper focuses on a class of variation-inequality problems involving non-divergence polytropic parabolic operators. The penalty method is employed, along with the Leray Schauder fixed point theory and limit progress, to determine the existence of solutions. The study also delves into the blow-up phenomena of the solution, revealing that under certain conditions, the solution will blow up in finite time.https://www.aimspress.com/article/doi/10.3934/math.2023856?viewType=HTMLvariation-inequality problemgeneralized solutionnon-divergence polytropic operatorexistenceblow up
spellingShingle Jia Li
Changchun Bi
Existence and blowup of solutions for non-divergence polytropic variation-inequality in corn option trading
AIMS Mathematics
variation-inequality problem
generalized solution
non-divergence polytropic operator
existence
blow up
title Existence and blowup of solutions for non-divergence polytropic variation-inequality in corn option trading
title_full Existence and blowup of solutions for non-divergence polytropic variation-inequality in corn option trading
title_fullStr Existence and blowup of solutions for non-divergence polytropic variation-inequality in corn option trading
title_full_unstemmed Existence and blowup of solutions for non-divergence polytropic variation-inequality in corn option trading
title_short Existence and blowup of solutions for non-divergence polytropic variation-inequality in corn option trading
title_sort existence and blowup of solutions for non divergence polytropic variation inequality in corn option trading
topic variation-inequality problem
generalized solution
non-divergence polytropic operator
existence
blow up
url https://www.aimspress.com/article/doi/10.3934/math.2023856?viewType=HTML
work_keys_str_mv AT jiali existenceandblowupofsolutionsfornondivergencepolytropicvariationinequalityincornoptiontrading
AT changchunbi existenceandblowupofsolutionsfornondivergencepolytropicvariationinequalityincornoptiontrading