书目名称 | Degenerate Nonlinear Diffusion Equations | 编辑 | Angelo Favini,Gabriela Marinoschi | 视频video | | 概述 | Includes supplementary material: | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | The aim of these notes is to include in a uniform presentation style several topics related to the theory of degenerate nonlinear diffusion equations, treated in the mathematical framework of evolution equations with multivalued .m.-accretive operators in Hilbert spaces. The problems concern nonlinear parabolic equations involving two cases of degeneracy. More precisely, one case is due to the vanishing of the time derivative coefficient and the other is provided by the vanishing of the diffusion coefficient on subsets of positive measure of the domain..From the mathematical point of view the results presented in these notes can be considered as general results in the theory of degenerate nonlinear diffusion equations. However, this work does not seek to present an exhaustive study of degenerate diffusion equations, but rather to emphasize some rigorous and efficient techniques for approaching various problems involving degenerate nonlinear diffusion equations, such as well-posedness, periodic solutions, asymptotic behaviour, discretization schemes, coefficient identification, and to introduce relevant solving methods for each of them. | 出版日期 | Book 2012 | 关键词 | 35K35, 47Hxx, 35R35, 34C25, 49J20; degenerate nonlinear diffusion equations; free boundary problems; in | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-28285-0 | isbn_softcover | 978-3-642-28284-3 | isbn_ebook | 978-3-642-28285-0Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer-Verlag Berlin Heidelberg 2012 |
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