Work

$L^p$ polyharmonic Robin problems on Lipschitz domains

Year: 2017

Type: preprint

Abstract: In this paper, we study a class of boundary value problems (BVPs) with Robin conditions in some $L^p$ spaces for polyharmonic equation on Lipschitz domains. Utilizing polyharmonic fundamental solutions, these Robin BVPs are solved by the method of layer potentials. The crucial ingedients of our approach are the classical single layer potential and its higher order analog (which are called multi-layer $S$-potentials), and the main results generalize ones of second order (Laplacian) case to higher order (polyharmonic) case.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1712.00939

Authors: Li, Weifeng, Dang, Pei, Du, Zhihua, Guo, Guoan, Li, Yumei

Institutions: China University of Geosciences, Nanjing University of Posts and Telecommunications, Macau University of Science and Technology, Jinan University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2772743875

Cites: 21

Cited by:

Related to: 10