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Inverse boundary value problem for ocean acoustics
Mathematical Methods in the Applied Sciences, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ikehata, M. +2 more
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Examples of instability in inverse boundary-value problems
Inverse Problems, 1997Summary: We consider an inverse boundary-value problem arising in questions of nondestructive testing such as corrosion detection by electrostatic measurements. We construct examples which show that, for this problem, logarithmic stability is the best possible.
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Inverse boundary-value problems of heat conduction
Journal of Engineering Physics, 1975Possible formulations of the problems of determining heat fluxes and temperatures at the boundary of a solid from known temperatures within the solid are examined. A classification of these formulations is offered. Various methods for solving one-dimensional inverse problems are analyzed.
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Solution of one inverse boundary value problem in aerohydrodynamics
Russian Mathematics, 2007It is well-known that designing the wing section of an airfoil boat, even within the model of an ideal incompressible fluid (IIF), one encounters some mathematical difficulties. The latter are caused by the ill-posedness of the problems and the double connectedness of the flow domain. The inverse problem is solved in [\textit{M. I.
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Inverse boundary value problems and the Aharonov Bohm effect
Inverse Problems, 2002Summary: We consider the inverse boundary value problem for the Schrödinger equation with electromagnetic or Yang-Mills potentials in multiconnected domains \(\Omega\subset \mathbb{R}^n\), \(n\geq 2\). We prove that if the Dirichlet-to-Neumann operators on \(\partial\Omega\) are gauge equivalent then the corresponding potentials are gauge equivalent ...
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An Interior Inverse Problem for Discontinuous Boundary-Value Problems
Integral Equations and Operator Theory, 2009In this work, we consider an inverse problem for the Sturm-Liouville equation with an interior discontinuity, and show that the potential function can be uniquely determined by a set of values of eigenfunctions at some interior point and parts of two spectra.
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Optimal stability for inverse elliptic boundary value problems with unknown boundaries
2000A class of inverse problems associated to an elliptic boundary value problem in high dimension is studied. The location of inaccessible parts in the boundary by measuring Dirichlet (resp. Neumann) data on an accessible place \(A\) for given Neumann (resp. Dirichlet) data supported in \(A\) is determined and the best possible stability estimates for the
ALESSANDRINI, GIOVANNI +3 more
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Variational inverse boundary value problems of aerohydrodynamics
Doklady Physics, 2001A. M. Elizarov, D. A. Fokin
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