Anisotropic nonlocal diffusion equations with singular forcing Articles uri icon

publication date

  • December 2018

start page

  • 1

end page

  • 23

International Standard Serial Number (ISSN)

  • WWWW-0074


  • We prove existence, uniqueness and regularity of solutions of nonlocal heatequations associated to anisotropic stable diffusion operators. The main features are that the right-hand side has very few regularity and that the spectralmeasure can be singular in some directions. The proofs require having goodenough estimates for the corresponding heat kernels and their derivatives.