Valdinoci, The Dirichlet problem for nonlocal operators with singular kernels: convex and non-convex domains, Adv. Math. 288 (2016), 732-790.X. Ros-Oton and E. Valdinoci, The Dirichlet problem for non- local op
The Dirichlet problem for second-order elliptic equations in non-divergence form with continuous coefficients Seick Kim,Yonsei University 报告时间:5月6日周二 上午10:00-11:00 报告地点:教二楼323报告厅 联 系 人:徐龙娟 报告摘要 I...
Let S + be a connected region, bounded by simple smooth non- intersecting contours Lo, L1 …, LP the first of which contains all the others. By L will be understood the union of these contours; as usual, the positive direct
The Cauchy problem for the Helmholtz equation is considered. It was demonstrated in a previous paper by the authors that the alternating algorithm suggested by V.A. Kozlov and V.G. Maz'ya does not converge for large wavenumbers in the Helmholtz equation. We prove here that if we alternate ...
Cristian Bereanu, Petru Jebelean, and C˘alin S¸erban. The Dirichlet problem for discontinuous perturbations of the mean curvature operator in Minkowski space. Electron. J. Qual. Theory Differ. Equ., pages No. 35, 7, 2015.Cristian Bereanu, Petru Jebelean, and Călin Şerban. The ...
The Dirichlet Problem Abstract This chapter is devoted to studying boundary value problems for second-order elliptic equations. The variational (also known as Hilbert space) approach to the Dirichlet problem is emphasized. Maximum principles are discussed in §5.10 and §5.11, which are independent ...
The Dirichlet Problem for Euler–Lagrange Equations on Arbitrary Domains 来自 Semantic Scholar 喜欢 0 阅读量: 3 作者: W Ziemer DOI: 10.1112/JLMS/S2-19.3.481 年份: 1979 收藏 引用 批量引用 报错 分享 全部来源 求助全文 Semantic Scholar ...
[52] utilized the peridynamic differential operator to develop a non-local PINN for solving PDEs. The differential operators computed by ND and AD are very different in nature and they have own merits in PINN implementation. Show abstract A physics-informed variational DeepONet for predicting crack...
In this article, we consider the new results for the Kirchhoff-type -Laplacian Dirichlet problem containing the Riemann-Liouville fractional derivative operators. By using the mountain pass theorem and the genus properties in the critical point theory, we get some new results on the existence and ...
the nonlocal problem (1.5) requires exterior data on the complement of\Omega. Thus, an appropriate choice of exterior datagis essential to achieve a ‘continuous’ theory. For a big subclass of the operators under consideration, like the fractional Laplacian(-\Delta )^s, a fitting weightedL^...