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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 3: Inverse Problems and Regularization Theory. Guest Editor: Jin Cheng, Masahiro Yamamoto, Shuai Lu, Jens Flemming and Stephan W. Anzengruber
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Articles

A non-local boundary value problem method for semi-linear parabolic equations backward in time

Dinh Nho HàoHanoi Institute of Mathematics, VAST, 18 Hoang Quoc Viet Road, 10307, Hanoi, Vietnam.Correspondence[email protected]
&
Nguyen Van DucDepartment of Mathematics, Vinh University, Vinh City, Vietnam.
Pages 446-463 | Received 30 Dec 2013, Accepted 24 Sep 2014, Published online: 27 Oct 2014

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Tran Nhat Luan & Tra Quoc Khanh. (2021) On the backward problem for parabolic equations with memory. Applicable Analysis 100:7, pages 1414-1431.
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Articles from other publishers (9)

Nguyen Van Duc, Dinh Nho Hào & Maxim Shishlenin. (2023) Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations. Journal of Inverse and Ill-posed Problems 0:0.
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Tran Thi Khieu & Hoang-Hung Vo. (2022) Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type. SIAM Journal on Numerical Analysis 60:4, pages 1665-1700.
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Dinh Nho Hào, Nguyen Van Duc & Nguyen Thi Ngoc Oanh. (2021) Stability results for weak solutions to backward one-dimensional semi-linear parabolic equations with locally Lipschitz source. Journal of Inverse and Ill-posed Problems 29:4, pages 499-513.
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Yunxia Shang & Shumin Li. (2021) Conditional stability in a backward Cahn–Hilliard equation via a Carleman estimate. Journal of Inverse and Ill-posed Problems 29:2, pages 159-171.
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NGUYEN Van Duc & LUONG Duy Nhat Minh. (2020) Stability results for identifying an unknown source term of a heat equation in the Banach space L1(Rn). Vinh University Journal of Science 49:1A.
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Dinh Nho Hào, Jijun Liu, Nguyen Van Duc & Nguyen Van Thang. (2019) Stability results for backward time-fractional parabolic equations. Inverse Problems 35:12, pages 125006.
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Jun Liu & Mingqing Xiao. (2019) Quasi-boundary value methods for regularizing the backward parabolic equation under the optimal control framework. Inverse Problems 35:12, pages 124003.
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NGUYEN Van Duc & TRAN Hoai Bao. (2019) A regularization method for backward parabolic equations with time-dependent coefficients. Vinh University Journal of Science 48:2A.
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Nguyen Van Duc & Nguyen Van Thang. (2016) Stability Results for Semi-linear Parabolic Equations Backward in Time. Acta Mathematica Vietnamica 42:1, pages 99-111.
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