搜索结果: 1-12 共查到“偏微分方程 General”相关记录12条 . 查询时间(0.046 秒)
A fast direct solver for elliptic problems on general meshes in 2D
Elliptic equations Fast algorithms Multifrontal methods Hierarchical matrices Sparse matrix
2015/7/14
We present a fast direct algorithm for solutions to linear systems arising from 2D elliptic equations. We follow the approach in Xia et al. (2009) on combining the multifrontal method with hierarchica...
Inversion of circular means and the wave equation on general planar domains
Inversion of circular equation general planar domains Analysis of PDEs
2012/6/25
We study the problem of recovering the initial data of the two dimensional wave equation from values of its solution on an arbitrarily shaped bounded domain $\Omega \subset \R^2$. As a main result we ...
The pseudorelativistic Hartree equation with a general nonlinearity: existence, non existence and variational identities
The pseudorelativistic Hartree equation general nonlinearity non existence variational identities Analysis of PDEs
2012/6/21
We prove several existence and non existence results of solitary waves for a class of nonlinear pseudo-relativistic Hartree equations with general nonlinearities. We use variational methods and some n...
Regularity of solutions to the polyharmonic equation in general domains
Regularity of solutions polyharmonic equation general domains Analysis of PDEs
2012/6/9
The present paper establishes boundedness of $[m-\frac n2+\frac 12]$ derivatives for the solutions to the polyharmonic equation of order $2m$ in arbitrary bounded open sets of $\RR^n$, $2\leq n\leq 2m...
Abstract: We prove that a sequence of averaged quantities $\int_{\R^m}h_n(x,p)\rho(p)dp$, $n\in \N$, is strongly precompact in $L^1_{loc}(\R^d)$, where $\rho\in C_0(\R^m)$, and $h_n\in L^p(\R^d\times ...
On the Local Existence for the Characteristic Initial Value Problem in General Relativity
Characteristic Initial Value Problem General Relativity Analysis of PDEs
2011/9/29
Abstract: Given a truncated incoming null cone and a truncated outgoing null cone intersecting at a two sphere $S$ with smooth characteristic initial data, a theorem of Rendall shows that the vacuum E...
Determinantal representation and subschemes of general plane curves
Determinantal representation subschemes of general plane curves
2011/2/21
Let M = (mij ) be an n × n square matrix of integers. For our purposes, we can assume without loss of generality that M is homogeneous and that the entries are non-increasing going leftward and downwa...
A complex surface of general type with $p_g=0$, $K^2=2$ and $H_1=\mathbb{Z}/4\mathbb{Z}$
complex surface of general type $p_g=0$, $K^2=2$ $H_1=\mathbb{Z}/4\mathbb{Z}$
2011/2/28
One of the greatest difficulties encountered by all in their first proof intensive class is
subtly assuming an unproven fact in a proof. The purpose of this note is to describe a specific instance wh...
On a General Linear Nonlocal Curvature Flow of Convex Plane Curves
General Linear Nonlocal Curvature Flow Convex Plane Curves
2011/1/17
Motivated by Pan-Yang [PY] and Ma-Cheng [MC], we study a general linear nonlocal cur-vature flow for convex closed plane curves and discuss the short time existence and asymptotic
convergence behavio...
A general framework for deriving integral preserving numerical methods for PDEs
general framework deriving integral preserving numerical methods PDEs
2010/12/8
A general procedure for constructing conservative numerical integra-tors for time dependent partial di erential equations is presented. In particular, linearly implicit methods preserving a time avera...
Cylindrically Symmetric Scalar Field and its Lyapunov stability in General Relativity
Cylindrically Symmetric Scalar Field Lyapunov stability
2010/11/26
In this paper we found an Exact solution for massless scalar field with cosmological constant.This exact solution generalized the Levi-Civita vacuum solution[8] to a massless scalar field,with a cosmo...
Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations
Nonlocal Cauchy problem Boussinesq equation Global existence Blow-up
2010/12/1
We study the initial-value problem for a general class of nonlinear nonlocal coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier transforms are nonne...