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Titlebook: Degenerate Nonlinear Diffusion Equations; Angelo Favini,Gabriela Marinoschi Book 2012 Springer-Verlag Berlin Heidelberg 2012 35K35, 47Hxx,

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發(fā)表于 2025-3-21 16:21:16 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Degenerate Nonlinear Diffusion Equations
編輯Angelo Favini,Gabriela Marinoschi
視頻videohttp://file.papertrans.cn/265/264862/264862.mp4
概述Includes supplementary material:
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Degenerate Nonlinear Diffusion Equations;  Angelo Favini,Gabriela Marinoschi Book 2012 Springer-Verlag Berlin Heidelberg 2012 35K35, 47Hxx,
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
關(guān)鍵詞35K35, 47Hxx, 35R35, 34C25, 49J20; degenerate nonlinear diffusion equations; free boundary problems; in
版次1
doihttps://doi.org/10.1007/978-3-642-28285-0
isbn_softcover978-3-642-28284-3
isbn_ebook978-3-642-28285-0Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2012
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沙發(fā)
發(fā)表于 2025-3-21 22:04:00 | 只看該作者
0075-8434 f 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
板凳
發(fā)表于 2025-3-22 01:21:00 | 只看該作者
https://doi.org/10.1007/978-3-662-06620-1s for the abstract Cauchy problem are proved in relation with the results of Kato, given in [71] and extended by Crandall and Pazy in [44] for the nonautonomous evolution equations with nonlinear .-accretive operators.
地板
發(fā)表于 2025-3-22 07:52:03 | 只看該作者
Book 2012 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
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6#
發(fā)表于 2025-3-22 14:48:23 | 只看該作者
,Existence for Nonautonomous Parabolic–Elliptic Degenerate Diffusion Equations,value problem for a fast diffusion equation in the parabolic–elliptic degenerate case, with nonhomogeneous Neumann conditions. Existence and uniqueness for the abstract Cauchy problem are proved in relation with the results of Kato, given in [71] and extended by Crandall and Pazy in [44] for the non
7#
發(fā)表于 2025-3-22 17:17:42 | 只看該作者
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發(fā)表于 2025-3-23 01:15:07 | 只看該作者
Book 2012aching 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.
9#
發(fā)表于 2025-3-23 02:27:54 | 只看該作者
0075-8434 c solutions, asymptotic behaviour, discretization schemes, coefficient identification, and to introduce relevant solving methods for each of them.978-3-642-28284-3978-3-642-28285-0Series ISSN 0075-8434 Series E-ISSN 1617-9692
10#
發(fā)表于 2025-3-23 06:15:58 | 只看該作者
https://doi.org/10.1007/978-3-662-06620-1In this chapter we are concerned with the study of some boundary value problems with initial data formulated for parabolic–elliptic degenerate diffusion equations with advection, focusing especially on the fast diffusion case which involves a free boundary problem (case (a) in Introduction).
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