Том 8, № 3Страницы 25 - 41

Quantitative Estimates on Jacobians for Hybrid Inverse Problems

G. Alessandrini, V. Nesi
Рассматриваются sigma-гармонические отображения, то есть отображения U с компонентами u_i, являющимися решениями эллиптического уравнения sigma nabla u_i=0, для i=1,... ,n. Исследуется вопрос нахождения таких условий Дирихле, при которых Якобиан отделен от нуля. Результаты такого рода необходимы при решении так называемых гибридных обратных задач, а также в теории усреднения границ для эффективных свойств композиционных материалов.
Полный текст
Ключевые слова
эллиптические уравнения; операторы Бельтрами; гибридные обратные задачи; композитные материалы.
Литература
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