Open Access
April, 2022 Gamma-convergence of Generalized Gradient Flows with Conjugate Type
Mao-Sheng Chang, Jian-Tong Liao
Author Affiliations +
Taiwanese J. Math. 26(2): 341-361 (April, 2022). DOI: 10.11650/tjm/211103

Abstract

In this paper we establish the Gamma-convergence of generalized gradient flows with conjugate type. It provided a criteria for obtaining the convergence of generalized gradient flows that correspond to a sort of $C^1$-order $\Gamma$-convergence of energy functionals and a kind of bounded symmetric positive definite linear operators.

Funding Statement

Both authors are supported by the Ministry of Science and Technology of Taiwan under the grant MOST 110-2115-M-030-001.

Citation

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Mao-Sheng Chang. Jian-Tong Liao. "Gamma-convergence of Generalized Gradient Flows with Conjugate Type." Taiwanese J. Math. 26 (2) 341 - 361, April, 2022. https://doi.org/10.11650/tjm/211103

Information

Received: 22 August 2021; Accepted: 21 November 2021; Published: April, 2022
First available in Project Euclid: 9 December 2021

MathSciNet: MR4396484
zbMATH: 1496.47126
Digital Object Identifier: 10.11650/tjm/211103

Subjects:
Primary: 47J35 , 49J40
Secondary: 49Q20

Keywords: $\Gamma$-convergence , fractional gradient flow , fractional Laplacian operator , Gamma-convergence of gradient flow , linear operator , real Hilbert space

Rights: Copyright © 2022 The Mathematical Society of the Republic of China

Vol.26 • No. 2 • April, 2022
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