2 papers
math.AP2024
A variable diffusivity fractional Laplacian
V. J. Ervin
In this paper we analyze the existence, uniqueness and regularity of the solution to the generalized, variable diffusivity, fractional Laplace equation on the unit disk in $\mathbb…
math.AP2024
Characterization of the weighted Sobolev space in 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 , we establish a characterization of the weighted Sobolev space $H_β…