Unique Continuation Property with Partial Information for Two-Dimensional Anisotropic Elasticity Systems

Cheng, Jin; Liu, Yi-kan; Wang, Yanbo; Yamamoto, Masahiro

doi:10.1007/s10255-020-0910-y

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2021

2024

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Cited by 3 publications

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“…For example, the stability of soft obstacles reconstruction in inverse scattering was obtained by Isakov [5] based on unique continuation. Cheng et al [6] studied the unique continuation for elasticity systems, which can be applied in phase transformation and anomalous diffusion in heterogeneous medium.…”

Section: Introductionmentioning

confidence: 99%

Unique Continuation on Quadratic Curves for Harmonic Functions

Ke¹,

Chen²

2021

Preprint

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The unique continuation on quadratic curves for harmonic functions is discussed in this paper. By using complex extension method, the conditional stability of unique continuation along quadratic curves for harmonic functions is illustrated. The numerical algorithm is provided based on collocation method and Tikhonov regularization. The stability estimates on parabolic and hyperbolic curves for harmonic functions are demonstrated by numerical examples respectively.

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Section: Introductionmentioning

confidence: 99%