3 papers
math.AP2026
Existence and regularity of minimizers for a variational problem of species population density
Pu-Zhao Kow, Masato Kimura, Hiroshi Ohtsuka
We study a variational problem motivated by models of species population density in a nonhomogeneous environment. We first analyze local minimizers and the structure of the saturat…
math.AP2025
An inverse problem for semilinear elliptic equations with generalized Kerr-type nonlinearities
Pu-Zhao Kow, Rulin Kuan
We study the inverse problem of reconstructing the shape of unknown inclusions in semilinear elliptic equations with nonanalytic nonlinearities, by extending Ikehata's enclosure me…
cs.SD2025
A Speech Enhancement Method Using Fast Fourier Transform and Convolutional Autoencoder
Pu-Yun Kow, Pu-Zhao Kow
This paper addresses the reconstruction of audio signals from degraded measurements. We propose a lightweight model that combines the discrete Fourier transform with a Convolutiona…