Bounds on layer potentials with rough inputs for higher order elliptic equations-Reference-Cited by-同舟云学术

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Bounds on layer potentials with rough inputs for higher order elliptic equations

Published:2019-04-07 Issue:3 Volume:119 Page:613-653
ISSN:0024-6115
Container-title:Proceedings of the London Mathematical Society
language:en
Short-container-title:Proc. London Math. Soc.

Author:

Barton Ariel¹,Hofmann Steve²,Mayboroda Svitlana³

Affiliation:

1. Department of Mathematical Sciences 309 SCEN University of Arkansas Fayetteville AR 72701 USA

2. Department of Mathematics University of Missouri 202 Math Sciences Bldg., 810 East Rollins Street Columbia MO 65211 USA

3. Department of Mathematics University of Minnesota 127 Vincent Hall, 206 Church St. SE Minneapolis MN 55455 USA

Funder

National Science Foundation

Simons Foundation

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1112/plms.12241

Reference60 articles.

1. Multiple layer potentials and the dirichlet problem for higher order elliptic equations in the plane I

2. Potential type operators and transmission problems for strongly elliptic second-order systems in Lipschitz domains

3. Analyticity of layer potentials and L2 solvability of boundary value problems for divergence form elliptic equations with complex L∞ coefficients

4. Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems

5. Solvability of elliptic systems with square integrable boundary data

Cited by 4 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. Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms;Advanced Nonlinear Studies;2023-01-01

2. The Ẇ−1,p Neumann problem for higher order elliptic equations;Communications in Partial Differential Equations;2021-02-10

3. Nontangential Estimates on Layer Potentials and the Neumann Problem for Higher-Order Elliptic Equations;International Mathematics Research Notices;2020-04-17

4. Dirichlet and Neumann boundary values of solutions to higher order elliptic equations;Annales de l'Institut Fourier;2019

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