搜索结果: 1-9 共查到“偏微分方程 Singularities”相关记录9条 . 查询时间(0.086 秒)
CURVATURE PINCHING ESTIMATE AND SINGULARITIES OF THE RICCI FLOW
SINGULARITIES CURVATURE PINCHING ESTIMAT
2015/8/17
In this paper, we first derive a pinching estimate on the traceless Ricci
curvature in term of scalar curvature and Weyl tensor under the Ricci flow. Then
we apply this estimate to study...
Singularities of the divergence of continuous vector fields and uniform Hausdorff estimates
Removable singularity divergence Hausdorff measure Hausdorff content Radon measure Frostman’s lemma charges strong charges
2012/6/19
We prove that every closed set which is not sigma-finite with respect to the Hausdorff measure H^{N-1} carries singularities of continuous vector fields in the Euclidean space R^N for the divergence o...
Diffraction from conormal singularities
Diffraction conormal singularities Analysis of PDEs
2012/4/23
In this paper we show that for metrics with conormal singularities that correspond to class C^{1,\alpha} with \alpha>0, the reflected wave is more regular than the incident wave in a Sobolev sense. Th...
Isolated Singularities of Nonlinear Polyharmonic Inequalities
Isolated singularity Polyharmonic Analysis of PDEs
2011/9/19
Abstract: We obtain results for the following question where $m\ge 1$ and $n\ge 2$ are integers. {\bf Question.} For which continuous functions $f\colon [0,\infty)\to [0,\infty)$ does there exist a co...
Extending cutoff resolvent estimates via propagation of singularities
cutoff resolvent estimates propagation of singularities Analysis of PDEs
2011/9/9
Abstract: We use a gluing method developed in joint work with Andr\'as Vasy to show that polynomially bounded cutoff resolvent estimates at the real axis imply, up to a constant factor, the same estim...
An elliptic problem with two singularities
elliptic problem two singularities Analysis of PDEs
2011/8/26
Abstract: We study a Dirichlet problem for an elliptic equation defined by a degenerate coercive operator and a singular right-hand side. We will show that the right-hand side has some regularizing ef...
Formation of singularities in solutions to ideal hydrodynamics of freely cooling inelastic gases
Formation of singularities hydrodynamics freely cooling inelastic gases
2011/8/23
Abstract: We consider solutions to the hyperbolic system of equations of ideal granular hydrodynamics with conserved mass, total energy and finite momentum of inertia and prove that these solutions ge...
Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations
degenerate fourth-order parabolic equation separation from singularities long-time behavior
2010/12/8
A nonlinear parabolic equation of the fourth order is analyzed. The equation is characterized
by a mobility coefficient that degenerates at 0. Existence of at least one weak solution is proved by usi...
Laplacian Growth, Elliptic Growth, and Singularities of the Schwarz Potential
Laplacian Growth Elliptic Growth Singularities Schwarz Potential
2010/12/13
The Schwarz function has played an elegant role in understanding and in generating new examples of exact solutions to the Laplacian growth (or \Hele-Shaw\) problem in the plane.