We consider an inverse problem of identifying the support D of a source term in an elliptic equation $$ -\Delta u(x) + q(x)\chi_D(x)u(x) = 0, \quad x\in ...
Introduction. We consider an inverse problem of recovering the shape and location of an unknown stationary heat source F. Let Ω ⊂ R2 be a bounded domain.
We consider an inverse problem of identifying the support D of a source term in an elliptic equation $$ -\Delta u(x) + q(x)\chi_D(x)u(x) = 0, \quad x\in ...
UTMS 2001–30 November 27, 2001 Uniqueness in identification of the support of a source term in an elliptic equation by Kim Sungwhan and Masahiro Yamamoto T ...
Mar 19, 2014 · In order to show that w=0, besides a∈L∞(D) you simply need ∇⋅a≥0. Also you may apply the Poincare inequality to the first integral to find a ...
Uniqueness in identification of the support of a source term in an elliptic equation. SIAM J. Math. Anal. 巻: 35, pp.148-159; 号: DOI: 10.1137/S0036141002412707 ...
Dec 20, 2024 · We know that,for such equations, the theorem on the uniqueness of the solution of this problem in the class of classical solutions is valid ...
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In this paper, we will give a simpler proof for the uniqueness in the following inverse problem which we have already discussed in Preprint UTMS 2001-30 ...
Feb 27, 2004 · We discuss the global uniqueness in determining D by a single measurement of Dirichlet data u on ∂Ω and prove uniqueness results with extra ...
In this paper the inverse problem for determining the source term of a linear, uniformly elliptic equation is investigated. The uniqueness of the inverse ...
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