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Carleman’s formulas for the Laplace and Poisson equations with operator coefficients
-
E. V. Arbuzov
and
A. L. Bukhgeim
Published/Copyright:
September 7, 2013
Abstract
- The Cauchy problems for operator analogues of the Laplace and Poisson equations with data known on a part of the domain boundary are considered. For solutions of these problems formulas of Carleman type are derived. The formulas obtained can be used in investigation of two-dimensional tomography problems with incomplete data.
Published Online: 2013-09-07
Published in Print: 2001-08
© 2013 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- Contents
- Carleman’s formulas for the Laplace and Poisson equations with operator coefficients
- On local solvability of inverse dissipative scattering problems
- Sourcewise representation of solutions to nonlinear operator equations in a Banach space and convergence rate estimates for a regularized Newton’s method
- Iterative methods for an inverse heat conduction problem
- Identification of a special class of memory kernels in one-dimensional heat flow
- Nonlinear inverse problems for elliptic equations
- Inverse problem for interior spectral data of the Sturm – Liouville operator
Articles in the same Issue
- Contents
- Carleman’s formulas for the Laplace and Poisson equations with operator coefficients
- On local solvability of inverse dissipative scattering problems
- Sourcewise representation of solutions to nonlinear operator equations in a Banach space and convergence rate estimates for a regularized Newton’s method
- Iterative methods for an inverse heat conduction problem
- Identification of a special class of memory kernels in one-dimensional heat flow
- Nonlinear inverse problems for elliptic equations
- Inverse problem for interior spectral data of the Sturm – Liouville operator
