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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars："Inverse problems for elliptic PDE" (8)
椭圆偏微分方程 反问题 Calderón问题
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2023/11/29
This course will give an introduction to inverse problems for elliptic partial differential equations. The most famous example of such problems is the Calderón problem, which arises in seismic and med...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars："Inverse problems for elliptic PDE" (7)
椭圆偏微分方程 反问题 Calderón问题
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2023/11/29
This course will give an introduction to inverse problems for elliptic partial differential equations. The most famous example of such problems is the Calderón problem, which arises in seismic and med...
On a fully non-linear elliptic PDE in conformal geometry
Fully nonlinear PDE generalized Yamabe problem
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2014/4/3
We give an expository survey on the subject of the Yamabe-type problem and applications. With a recent technique in hand, we also present a simplified proof of the result by Chang-Gursky-Yang on...
On the Quasi-Linear Elliptic PDE $-\nabla\cdot(\nabla{u}/\sqrt{1-|\nabla{u}|^2}) = 4π\sum_k a_k δ_{s_k}$ in Physics and Geometry
Lorentz manifolds maximal foliations lightcone singularities
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2011/9/15
Abstract: It is shown that for each finite number of Dirac measures supported at points $s_n$ in three-dimensional Euclidean space, with given amplitudes $a_n$, there exists a unique real-valued Lipsc...
On quasiconformal selfmappings of the unit disk and elliptic PDE in the plane
Quasiconformal maps Beltrami equation Elliptic PDE Lipschitz condition
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2010/11/30
In this paper we prove the following theorem: if w is a quasiconformal mapping of the unit disk onto itself satisfying elliptic partial differential inequality |L[w]| ≤ B|∇w|2 + , then...
$W^{2,2}$ Estimates for Solutions to Non-Uniformly Elliptic PDE'S with Measurable Coefficients
Cordes conditions Elliptic partial differential equations
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2008/7/3
$W^{2,2}$ Estimates for Solutions to Non-Uniformly Elliptic PDE'S with Measurable Coefficients.