Статья: Well-posedness of the microwave heating problem
A number of initial boundary-value problems of classical mathematical physics is generally represented in the linear operator equation and its well-posedness and causality in a Hilbert space setting was established. If a problem has a unique solution and the solution continuously depends on given data, then the problem is called well-posed. The independence of the future behavior of a solution until a certain time indicates the causality of the solution. In this article, we established the well-posedness and causality of the solution of the evolutionary problems with a perturbation, which is defined by a quadratic form. As an example, we considered the coupled system of the heat and Maxwell’s equations (the microwave heating problem).
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- 1 страница
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- ISSN
- 2658-4670
- EISSN
- 2658-7149
- Журнал
- DISCRETE AND CONTINUOUS MODELS AND APPLIED COMPUTATIONAL SCIENCE
- Год публикации
- 2024
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