Vincent J. Ervin

collaborators

2 papers

math.AP2024

Characterization of the weighted Sobolev space $H_{β}^{s} (Ω)$ in $R^{2}$ in terms of the decay rate of Fourier-Jacobi coefficients

V. J. Ervin

In this paper, motivated by the analysis of the fractional Laplace equation on the unit disk in $R^{2}$ , we establish a characterization of the weighted Sobolev space $H_β…

math.NA2022

Analysis and Petrov-Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations

Xiangcheng Zheng, V. J. Ervin, Hong Wang

In this paper we investigate the variable coefficient two-sided fractional diffusion, advection, reaction equations on a bounded interval. It is known that the fractional diffusion…

Characterization of the weighted Sobolev space Hβs​(Ω) in R2 in terms of the decay rate of Fourier-Jacobi coefficients

Analysis and Petrov-Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations

Characterization of the weighted Sobolev space $H_{β}^{s} (Ω)$ in $R^{2}$ in terms of the decay rate of Fourier-Jacobi coefficients