More Like this

1. Boundary unique continuation for the Laplace equation and the biharmonic operator

   S. Berhanu (January 2022, Communications in analysis and geometry)

   Kefeng Liu (Ed.)

   We establish results on unique continuation at the boundary for the solutions of ∆u = f, f harmonic, and the biharmonic equation ∆^2u = 0. The work is motivated by analogous results proved for harmonic functions by X. Huang et al in [HK1], [HK2], and [HKMP] and by M. S. Baouendi and L. P. Rothschild in [BR1] and [BR2]. 

   more » « less
2. BOUNDARY UNIQUE CONTINUATION FOR THE LAPLACE EQUATION AND THE BIHARMONIC OPERATOR

   Berhanu, S. (January 2022, Communications in analysis and geometry)

   Kefeng Liu (Ed.)

   We establish results on unique continuation at the boundary for the solutions of ∆u = f, f harmonic, and the biharmonic equation ∆^2u = 0. The work is motivated by analogous results proved for harmonic functions by X. Huang et al in [HK1], [HK2], and [HKMP] and by M. S. Baouendi and L. P. Rothschild in [BR1] and [BR2]. 

   more » « less
3. Stability for an inverse source problem of the Biharmonic operator

   https://doi.org/10.1137/21M1407148  

   Li, Peijun; Yao, Xiaohua; Zhao, Yue (January 2021, SIAM journal on applied mathematics)
4. Nonlocal Adaptive Biharmonic Regularizer for Image Restoration

   https://doi.org/10.1007/s10851-022-01129-4  

   Wen, Ying; Vese, Luminita A.; Shi, Kehan; Guo, Zhichang; Sun, Jiebao (June 2023, Journal of Mathematical Imaging and Vision)
5. Reconstructing a potential perturbation of the biharmonic operator on transversally anisotropic manifolds

   https://doi.org/10.3934/ipi.2022034  

   Yan, Lili (January 2023, Inverse Problems and Imaging)