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DOI: 10.23952/cot.2026.12
Received September 24, 2024; Accepted January 28, 2025; Published online January 30, 2026
Abstract. In this paper, we continue our study of nonlocal problems of gradient flow type that we developed in our previous papers [O. Anza Hafsa, J.-P. Mandallena, G. Michaille, Nonlocal time delays reaction-diffusion problems of gradient flow type: Existence, stochastic homogenization, Evol. Equ. Control Theory 17 (2026) 23-61] and [O. Anza Hafsa, J.-P. Mandallena, G. Michaille, Stochastic homogenization of nonlocal reaction-diffusion problems of gradient flow type, J. Elliptic Parabol. Equ. 10 (2024) 415-474]. We consider here nonlocal integrodifferential diffusion problems. We present existence, uniqueness and compactness results and investigate stochastic homogenization.
How to Cite this Article:
O. Anza Hafsa, J.-P. Mandallena, G. Michaille, Variational convergence of nonlocal integrodifferential diffusion problems of gradient flow type, Commun. Optim. Theory 2026 (2026) 12.