Equivalence between a time-fractional and an integer-order gradient flow: the memory effect reflected in the energy
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Publication:2081376
DOI10.1515/anona-2022-0262zbMath1500.35294arXiv2106.10985OpenAlexW3174733916MaRDI QIDQ2081376
Ustim Khristenko, Marvin Fritz, Barbara I. Wohlmuth
Publication date: 12 October 2022
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.10985
energy dissipationmemory effecthistory and augmented energykernel compressing methodstime-fractional gradient flowswell-posedness of variational form
Theoretical approximation in context of PDEs (35A35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Higher-order parabolic equations (35K25) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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