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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:HT-Net: Hierarchical Transformer based Operator Learning Model for Multiscale PDEs
HT-Net 分层变压器 多尺度 偏微分方程 算子学习模型
2023/5/6
Boundary integral operator for the fractional Laplace equation in a bounded Lipschitz domain
boundary integral operator layer potential fractional Laplacian bounded Lipschitz domain
2011/8/25
Abstract: We study the boundary integral operator induced from fractional Laplace equation in a bounded Lipschitz domain. As an application, we study the boundary value problem of a fractional Laplace...
On a Fourth Order Lichnerowicz Type Equation Involving The Paneitz-Branson Operator
Fourth Order Lichnerowicz Type Equation Paneitz-Branson Operator
2011/2/24
In this paper, we study some fourth order singular critical equa-tions of Lichnerowicz type involving the Paneitz-Branson operator, and we prove existence and non existence results under given assumpt...
Eigenfunction localization for the 2D periodic Schrödinger operator
Eigenfunction localization 2D periodic Schrö dinger operator
2010/11/30
We prove that for any fixed trigonometric polynomial potential satisfying a genericity condition, the spectrum of the two dimension periodic Schr¨odinger operator has finite multiplicity and the Fouri...