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Research Article | Open Access

Local max-norm regularity estimates for gradient solutions of variational inequalities involving a class of doubly degenerate parabolic operators arising from quanto option valuation analysis

Wenwen Jiang, Jia Li( )
School of Management, Shenyang Urban Construction University, Shenyang, Liaoning 110167, China
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Abstract

This paper investigates a class of variational inequality problems governed by double-phase degenerate parabolic operators on cylindrical domains within bounded open sets, which arises from sensitivity analysis of quanto option valuation. The main result establishes max-norm regularity estimates for gradient solutions of the variational inequality.

Keywords

initial-boundary value problem for variational inequalitygradient solutionboundedness in the sup-normmax-norm regularity estimate
CLC number: 35M13, 97M40

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AIMS Mathematics
Volume 10 Issue 9,
September 2025
Pages 21902-21915
DOI: 10.3934/math.2025975

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Jiang W, Li J. Local max-norm regularity estimates for gradient solutions of variational inequalities involving a class of doubly degenerate parabolic operators arising from quanto option valuation analysis. AIMS Mathematics, 2025, 10(9): 21902-21915. https://doi.org/10.3934/math.2025975

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Received: 03 July 2025
Revised: 09 September 2025
Accepted: 11 September 2025
Published: 22 September 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)