Carleman Estimates For The Elliptic Equation With A Discontinuous Coefficient

Posted on:2010-02-10

Degree:Master

Type:Thesis

Country:China

Candidate:S W Zhang

Full Text:PDF

GTID:2120360275988575

Subject:Operational Research and Cybernetics

Abstract/Summary:

PDF Full Text Request

In this paper, we prove Carleman estimates for the solution of the elliptic equation with a discontinuous coefficient by using suitable weighted funcions.This kind of Carleman estimate are very useful to inverse problems for the elliptic equation with a discontinuous coefficient.

Keywords/Search Tags:

Carleman estimates, elliptic equation, discontinuous coefficient, weight function

PDF Full Text Request

Related items

1	Diffusion Equation With Discontinuous Coefficients Local Discontinuous Galerkin Method
2	Conditional Stability In Determining The Highest-order Coefficient In A Half-order Time Fractional Diffusion Equation By A Carleman Estimate
3	Solving One-dimensional Elliptic Interface Problems With Variable Coefficient By HDG Method
4	Carleman Estimates For Some Stochastic Partial Differential Equations And Applications
5	XHDG Method For Solving 2-D Elliptic Interface Problems
6	A Modified Finite Volume Method For Partial Differential With Discontinuous Coefficients
7	Convexity Estimates For Solutions Some Elliptic Partial Differential Equations And Their Applications
8	Uniform Resolvent Estimates And Higher Order Schrodinger Operators
9	Research On RBF-FD Method For Elliptic Equation With Variable Coefficient
10	Optimal Error Estimates Of Discontinuous Galerkin Methods For Several Types Of Equations