Integral Geometry and Inverse Problems for Hyperbolic Equations (eBook, PDF)
V. G. Romanov
eBook, PDF

Integral Geometry and Inverse Problems for Hyperbolic Equations (eBook, PDF)

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There are currently many practical situations in which one wishes to determine the coefficients in an ordinary or partial differential equation from known functionals of its solution. These are often called "inverse problems of mathematical physics" and may be contrasted with problems in which an equation is given and one looks for its solution under initial and boundary conditions. Although inverse problems are often ill-posed in the classical sense, their practical importance is such that they may be considered among the pressing problems of current mathematical re search. A. N. Tihonov show...

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