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Gevrey regularity and time decay of the fractional Debye-HÜckel system in Fourier-Besov spaces
Yiwen Cui,Weiliang Xiao 대한수학회 2020 대한수학회보 Vol.57 No.6
In this paper we mainly study existence and regularity of mild solutions to the parabolic-elliptic system of drift-diffusion type with small initial data in Fourier-Besov spaces. To be more detailed, we will explain that global-in-time mild solutions are well-posed and Gevrey regular by means of multilinear singular integrals and Fourier localization argument. Furthermore, we can get time decay rate estimate of mild solutions in Fourier-Besov spaces.
Jifeng Cao,Yiwen Cui 한국증권학회 2023 Asia-Pacific Journal of Financial Studies Vol.52 No.3
An implicit tax is a reduction in the pretax rate of return driven by tax preferences. With increasingly stringent requirements of sustainable development, Chinese government actively promotes environmental protection with the direct corporate income tax rate preferences, which provide a unique opportunity to examine whether implicit taxes remain a significant tax cost in the environmental protection industry. This paper finds the existence of implicit taxes in environmental protection firms and the market structure impedes the realization of implicit taxes. The market power and market concentration reduce the negative effect of tax preferences on the firm’s pretax rate of return. The environmental protection firms with lower competition bear lower implicit taxes. These findings are important to evaluate the effectiveness of the tax incentives on environmental protection firms and other tax-favored industries.