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In this chapter, we first explain basic concepts and features about what inverse problems are. For it, as example we consider the law of universal gravitation. Then, related to a heat equation, we discuss a variety of inverse problems even for a very simple partial differential equation, and illustrate our mathematical analyses.

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How Inverse Problems Appear and What Should We Study About Inverse Problems?

  • 章节

  • 发表日期：

    2025年

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  • Masahiro Yamamoto

摘要

In this chapter, we first explain basic concepts and features about what inverse problems are. For it, as example we consider the law of universal gravitation. Then, related to a heat equation, we discuss a variety of inverse problems even for a very simple partial differential equation, and illustrate our mathematical analyses.