Existence and regularity for nonlinear parabolic double obstacle problems

Sun Sig Byun; Seungjin Ryu

doi:10.1088/1361-6544/ace875

Existence and regularity for nonlinear parabolic double obstacle problems

Sun Sig Byun, Seungjin Ryu

Department of Mathematics

Seoul National University

Research output: Contribution to journal › Article › peer-review

Abstract

We study nonlinear parabolic equations of p-Laplacian type with irregular double obstacles to establish the existence and an optimal global Calderón-Zygmund theory.

Original language	English
Pages (from-to)	4785-4809
Number of pages	25
Journal	Nonlinearity
Volume	36
Issue number	9
DOIs	https://doi.org/10.1088/1361-6544/ace875
State	Published - 1 Sep 2023

Keywords

Calderón-Zygmund estimate
double obstacle
variational inequality

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title = "Existence and regularity for nonlinear parabolic double obstacle problems",

abstract = "We study nonlinear parabolic equations of p-Laplacian type with irregular double obstacles to establish the existence and an optimal global Calder{\'o}n-Zygmund theory.",

keywords = "Calder{\'o}n-Zygmund estimate, double obstacle, variational inequality",

author = "Byun, {Sun Sig} and Seungjin Ryu",

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AB - We study nonlinear parabolic equations of p-Laplacian type with irregular double obstacles to establish the existence and an optimal global Calderón-Zygmund theory.

KW - Calderón-Zygmund estimate

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KW - variational inequality

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JO - Nonlinearity

JF - Nonlinearity

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Existence and regularity for nonlinear parabolic double obstacle problems

Abstract

Keywords

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