Degenerate nonlinear diffusion equations
 Author/Creator
 Favini, A. (Angelo), 1946
 Language
 English.
 Imprint
 Berlin ; New York : Springer, c2012.
 Physical description
 xxi, 143 p. : col. ill. ; 23 cm.
 Series
 Lecture notes in mathematics (SpringerVerlag) 2049.
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Available online

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QA3 .L28 V.2049

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QA3 .L28 V.2049
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Contributors
 Contributor
 Marinoschi, Gabriela.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 135139) and index.
 Contents

 Existence for parabolicelliptic degenerate diffusion problems
 Existence for diffusion degenerate problems
 Existence for nonautonomous parabolicelliptic degenerate diffusion equations
 Parameter identification in a parabolicelliptic degenerate problem.
 Publisher's Summary
 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 maccretive 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 wellposedness, periodic solutions, asymptotic behaviour, discretization schemes, and coefficient identification, and to introduce relevant solving methods for each case.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2012
 Responsibility
 Angelo Favini, Gabriela Marinoschi.
 Series
 Lecture notes in mathematics ; 2049
 Available in another form
 Online version: Favini, A. (Angelo), 1946 Degenerate nonlinear diffusion equations. Berlin ; New York : Springer, c2012 9783642282850 (OCoLC)793727764
 ISBN
 9783642282843 (pbk.)
 3642282849 (pbk.)
 9783642282850 (ebook)
 3642282857 (ebook)