Inverse Source Problem for a Double Hyperbolic Equation Describing the Three-Dimensional Time Cone Model

DOI10.1137/15M1018836zbMath1433.74088OpenAlexW2231210363MaRDI QIDQ3460255

Daijun Jiang, Yikan Liu, Masahiro Yamamoto

Publication date: 7 January 2016

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1018836

zbMATH Keywords

well-posednessCarleman estimateiterative thresholding algorithmnucleation rateglobal Lipschitz stability

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Crystals in solids (74N05) PDEs in connection with mechanics of deformable solids (35Q74)

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Cites Work

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• Parameter Identification in a Random Environment Exemplified by a Multiscale Model for Crystal Growth
• Alternating Direction Methods for Hyperbolic Differential Equations
• Inverse problems related to crystallization of polymers
• Iterative Regularization of a Parameter Identification Problem Occurring in Polymer Crystallization
• An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
• On the multiple hyperbolic systems modelling phase transformation kinetics
• A High Accuracy Alternating Direction Method for the Wave Equation

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