On the Simple Layer Potential Ansatz for the n-Dimensional Helmholtz Equation-Reference-Cited by-同舟云学术

On the Simple Layer Potential Ansatz for the n-Dimensional Helmholtz Equation

Published:2020 Issue: Volume: Page:157-168
ISSN:2296-5009
Container-title:Applied and Numerical Harmonic Analysis
language:
Short-container-title:

Author:

Cialdea Alberto,Leonessa Vita,Malaspina Angelica

Publisher

Springer International Publishing

Link

http://link.springer.com/content/pdf/10.1007/978-3-030-36138-9_9

Reference19 articles.

1. S. Agmon. A representation theorem for solutions of the Helmholtz equation and resolvent estimates for the Laplacian. Analysis, et cetera, (1990), 39–76.

2. A. Cialdea. On oblique derivate problem for Laplace equation and connected topics. Rend. Accad. Naz. Sci. XL Mem. Mat. (5)12 (1988), no. 1, 181–200.

3. A. Cialdea. The simple layer potential for the biharmonic equation in n variables. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., (9) 2 (1991), 115–127.

4. A. Cialdea. The Simple-Layer Potential Approach to the Dirichlet Problem: An Extension to Higher Dimensions of Muskhelishvili Method and Applications, in C. Constanda, M. Dalla Riva, P.D. Lamberti, P. Musolino (Eds.), Integral Methods in Science and Engineering, Volume 1, Birkhäuser, (2017) 59–69 .

5. A. Cialdea, E. Dolce, A. Malaspina, V. Nanni. On an integral equation of the first kind arising in the theory of Cosserat. Intern. J. Math.24 (2013), no. 5, 21 pages.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the traction problem for steady elastic oscillations equations: the double layer potential ansatz;Rendiconti del Circolo Matematico di Palermo Series 2;2022-07-04

2. On the double layer potential ansatz for the n-dimensional Helmholtz equation with Neumann condition;Electronic Journal of Qualitative Theory of Differential Equations;2020