Introduction to the mathematical theory of inverse problems(Chinese Edition) - Softcover

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Paperback. Pub October 1999 282 in World Publishing Company Following Keller [119] we call two problems with inverse to each other if the formulation of the each of them the requires full or the partial knowledge of the other. By the this definition . it is obviously arbitrary which of the two problems we call the direct and which we call the inverse problem. But usually. one of the problems has been studied earlier and. perhaps. in more detail. This one is usually called the direct problem. whereas the other is the inverse problem. However. there is often another. more important difference between these two problems. Hadamard (see [91]) introduced the concept of a well-posed problem. originating from the philosophy that the mathematical model of a physical problem has to have the properties of uniqueness. existence. and stability of the solution. If ...

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