Regularity bounds for a Gevrey criterion in a kernel-based regularization of the Cauchy problem of elliptic equations
Analysis of PDEs
2018-09-07 v1
Abstract
This Note derives regularity bounds for a Gevrey criterion when the Cauchy problem of elliptic equations is solved by regularization. When utilizing the regularization, one knows that checking such criterion is basically problematic, albeit its importance to engineering circumstances. Therefore, coping with that impediment helps us improve the use of some regularization methods in real-world applications. This work also consider the presence of the power-law nonlinearities.
Keywords
Cite
@article{arxiv.1710.09332,
title = {Regularity bounds for a Gevrey criterion in a kernel-based regularization of the Cauchy problem of elliptic equations},
author = {Khoa Anh Vo and The Hung Tran},
journal= {arXiv preprint arXiv:1710.09332},
year = {2018}
}