搜索结果: 1-15 共查到“偏微分方程 problem”相关记录41条 . 查询时间(0.068 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some recent progress on the gradient estimates for the insulated conductivity problem
绝缘 电导率 梯度估计 椭圆偏微分方程
2023/4/17
In this talk, I will describe an elliptic PDE that models electric conduction, and the electric field concentration phenomenon between closely spaced inclusions of high contrast. In the first part, I ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability conditions for a free boundary problem of 3-D compressible Euler equations coupled with a nonlinear Poisson equation
三维 可压缩欧拉方程 耦合 非线性泊松方程 自由边界问题 稳定性条件
2023/4/18
In this talk, I will discuss the stability conditions for a free boundary problem of compressible Euler equations coupled with a nonlinear Poisson equation of electric potential. Under those stability...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some estimates on an exterior Steklov eigenvalue problem
外部 斯特克洛夫特征值 估计
2023/5/9
In this talk we will discuss a Steklov eigenvalue problem on an exterior Euclidean domain. We will present sharp lower and upper bounds for its first eigenvalue under various conditions on the domain....
Fading memory and the problem of approximating nonlinear operators with Volterra series
Continuous nonlinear operator volterra series operator nonlinear dynamic system
2015/8/13
Using the notion of fading memory, very strong versions of two theorems are proved. The first is that any time-invariant (TI) continuous nonlinear operator can be approximated by a Volterra series ope...
Multiplicity of 1D-concentrating positive solutions to the Dirichlet problem for equation with $p$-Laplacian
Multiplicity of 1D-concentrating positive solutions Dirichlet problem equation Analysis of PDEs
2012/6/21
We prove the multiplicity of spike-layer type solutions to the Dirichlet problem for the equation $-\Delta_p u = u^{q-1}$ in expanding annuli.
The Algebro-Geometric Initial Value Problem for the Ruijsenaars-Toda Hierarchy and Quasi-Periodic Solutions
Ruijsenaars-Toda hierarchy complex-valued algebro-geometric solutions hyperelliptic curve Dubrovin-type equation Baker-Akhiezer vector
2012/4/27
We provide a detailed treatment of Ruijsenaars-Toda (RT) hierarchy with special emphasis on its the theta function representation of all algebro-geometric solutions. The basic tools involve hyperellip...
Point measurements for a Neumann-to-Dirichlet map and the Calderón problem in the plane
Calderon problem Neumann-to-Dirichlet map point measurements Analysis of PDEs
2012/4/18
This work considers properties of the Neumann-to-Dirichlet map for the conductivity equation under the assumption that the conductivity is identically one close to the boundary of the examined smooth,...
Continuity of attractors for a nonlinear parabolic problem with terms concentrating in the boundary
Partial differential equations on infinite-dimensional spaces asymptotic behavior of solutions attractors singular perturbations concentrating terms
2012/4/17
We analyze the dynamics of the flow generated by a nonlinear parabolic problem when some reaction and potential terms are concentrated in a neighborhood of the boundary. We assume that this neighborho...
A nonlinear elliptic problem with terms concentrating in the boundary
Semilinear elliptic equations nonlinear boundary conditions singular elliptic equations upper semicontinuity concentrating terms
2012/4/17
In this paper we investigate the behavior of a family of steady state solutions of a nonlinear reaction diffusion equation when some reaction and potential terms are concentrated in a $\epsilon$-neigh...
Tikhonov regularization method for a Cauchy problem for the Helmholtz equation in multiple dimensions-----
inverse problems Helmholtz equation Tikhonov regularization error estimate
2011/10/18
This paper deals with a Cauchy problem for the Helmholtz equa- tion in multiple dimensions.We want to obtain the solution u on the boundary z = 0 from the given function g ontheside z = 1. This proble...
Growth rates, Hausdorff measure and stability for the p-obstacle problem(3/2≤p≤2)
growth rate Hausdorff measure obstacle problem stability
2011/10/17
In this paper, we consider the free boundary for the inho-mogeneous obstacle problem with zero obstacle. We firstly establish the growth rates for the solution u(x) and the gradient of u(x), awa...
Cauchy problem of nonlinear Schrodinger equation with initial data in Sobolev space W^{s,p} for p<2
Applied mathematics Cauchy problem nonlinear Schrodinger equation local well-posedness scaling limit
2011/10/15
In this paper, we consider in R^n the Cauchy problem for nonlinear Schrodinger equation with initial data in Sobolev space W^{s,p} for p<2. It is well known that this problem is ill posed. However, We...
Initial-boundary value problem for the equation of timelike extremal surfaces in Minkowski space
Applied mathematics Minkowski space Timelike extremal surfaces Initial-boundary value problem
2011/10/15
In this paper we investigate the mixed initial-boundary value problem for the equation of time-like extremal surfaces in Minkowski space $R^{1+(1+n)}$ in the first quadrant. Under the assumptions that...
Regularity of solutions of a free boundary problem modeling the growth of solid tumors
Free boundary problem tumor model regularity
2011/10/15
In this paper we study a free boundary problem modeling the growth of solid tumors. Due to the free boundary and surface tension effects, this problem is a nonlinear problem involving non-local terms....
Bubbling on Boundary Submanifolds for the Lin-Ni-Takagi Problem at Higher Critical Exponents
Critical Sobolev Exponent Blowing-up Solutions Nondegenerate minimal submanifolds
2011/9/22
Abstract: We consider the equation $d^2\Delta u - u+ u^{\frac{n-k+2}{n-k-2}} =0\,\hbox{in}\Omega $, under zero Neumann boundary conditions, where $\Omega$ is open, smooth and bounded and $d$ is a smal...