Uniqueness and stability in an inverse problem for a Poisson's equation (Q2461493)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness and stability in an inverse problem for a Poisson's equation |
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Uniqueness and stability in an inverse problem for a Poisson's equation (English)
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28 November 2007
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The Poisson's equation \[ \psi''(x)=-e^{v-\psi}+e^{\psi-v}-N(x), \qquad x\in[0,1] \] with Dirichlet boundary conditions is considered. Uniqueness and stability results are obtained for the solution of the inverse problem of recovering \(N(x)\) from a function family.
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Poisson's equation
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well-posedness
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inverse problem
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