On $L_{p}$- theory for integro-differential operators with spatially dependent coefficients
Analysis of PDEs
2023-08-31 v1
Abstract
The parabolic integro-differential Cauchy problem with spatially dependent coefficients is considered in generalized Bessel potential spaces where smoothness is defined by L\'evy measures with O-regularly varying profile. The coefficients are assumed to be bounded and H\"older continuous in the spatial variable. Our results can cover interesting classes of L\'evy measures that go beyond those comparable to .
Keywords
Cite
@article{arxiv.2308.16127,
title = {On $L_{p}$- theory for integro-differential operators with spatially dependent coefficients},
author = {Sutawas Janreung and Tatpon Siripraparat and Chukiat Saksurakan},
journal= {arXiv preprint arXiv:2308.16127},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:1901.03830 by other authors