Ngai, Sze-Man; Tang, Wei Schrödinger equations defined by a class of self-similar measures. (English) Zbl 07754864 J. Fractal Geom. 10, No. 3-4, 209-241 (2023). MSC: 28A80 35Q41 74S05 65L60 65L20 PDFBibTeX XMLCite \textit{S.-M. Ngai} and \textit{W. Tang}, J. Fractal Geom. 10, No. 3--4, 209--241 (2023; Zbl 07754864) Full Text: DOI
Tang, Wei; Ngai, Sze-Man Heat equations defined by self-similar measures with overlaps. (English) Zbl 1491.35088 Fractals 30, No. 3, Article ID 2250073, 18 p. (2022). MSC: 35B50 35B45 35K20 35R06 PDFBibTeX XMLCite \textit{W. Tang} and \textit{S.-M. Ngai}, Fractals 30, No. 3, Article ID 2250073, 18 p. (2022; Zbl 1491.35088) Full Text: DOI
Ngai, Sze-Man; Xie, Yuanyuan Spectral asymptotics of Laplacians associated with a class of higher-dimensional graph-directed self-similar measures. (English) Zbl 1497.28007 Nonlinearity 34, No. 8, 5375-5398 (2021). Reviewer: Lingmin Liao (Créteil) MSC: 28A80 35J05 35P20 PDFBibTeX XMLCite \textit{S.-M. Ngai} and \textit{Y. Xie}, Nonlinearity 34, No. 8, 5375--5398 (2021; Zbl 1497.28007) Full Text: DOI
Deng, Da-Wen; Ngai, Sze-Man Estimates for sums and gaps of eigenvalues of Laplacians on measure spaces. (English) Zbl 1462.35218 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 2, 842-861 (2021). MSC: 35P15 28A80 35J05 35J25 34L16 65L15 65L60 PDFBibTeX XMLCite \textit{D.-W. Deng} and \textit{S.-M. Ngai}, Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 2, 842--861 (2021; Zbl 1462.35218) Full Text: DOI
Ngai, Sze-Man; Tang, Wei; Xie, Yuanyuan Wave propagation speed on fractals. (English) Zbl 1439.35190 J. Fourier Anal. Appl. 26, No. 2, Paper No. 31, 38 p. (2020). MSC: 35K08 28A80 35J05 35K05 PDFBibTeX XMLCite \textit{S.-M. Ngai} et al., J. Fourier Anal. Appl. 26, No. 2, Paper No. 31, 38 p. (2020; Zbl 1439.35190) Full Text: DOI
Ngai, Sze-Man; Tang, Wei Eigenvalue asymptotics and Bohr’s formula for fractal Schrödinger operators. (English) Zbl 1473.35137 Pac. J. Math. 300, No. 1, 83-119 (2019). MSC: 35J10 28A80 35P20 PDFBibTeX XMLCite \textit{S.-M. Ngai} and \textit{W. Tang}, Pac. J. Math. 300, No. 1, 83--119 (2019; Zbl 1473.35137) Full Text: DOI
Ngai, Sze-Man; Tang, Wei; Xie, Yuanyuan Spectral asymptotics of one-dimensional fractal Laplacians in the absence of second-order identities. (English) Zbl 1396.28017 Discrete Contin. Dyn. Syst. 38, No. 4, 1849-1887 (2018). MSC: 28A80 35J05 35P20 43A05 47A75 PDFBibTeX XMLCite \textit{S.-M. Ngai} et al., Discrete Contin. Dyn. Syst. 38, No. 4, 1849--1887 (2018; Zbl 1396.28017) Full Text: DOI
Chan, John Fun-Choi; Ngai, Sze-Man; Teplyaev, Alexander One-dimensional wave equations defined by fractal Laplacians. (English) Zbl 1386.35411 J. Anal. Math. 127, 219-246 (2015). Reviewer: Peter Massopust (München) MSC: 35R02 28A80 35L05 PDFBibTeX XMLCite \textit{J. F. C. Chan} et al., J. Anal. Math. 127, 219--246 (2015; Zbl 1386.35411) Full Text: DOI arXiv
Hu, Jiaxin; Lau, Ka-Sing; Ngai, Sze-Man Laplace operators related to self-similar measures on \(\mathbb R^{d}\). (English) Zbl 1109.47038 J. Funct. Anal. 239, No. 2, 542-565 (2006). Reviewer: Kun Soo Chang (Seoul) MSC: 47F05 28A80 28A75 35J05 35P05 35R05 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Funct. Anal. 239, No. 2, 542--565 (2006; Zbl 1109.47038) Full Text: DOI