Degenerate Nonlinear Diffusion Equations

Favini, Angelo; Marinoschi, Gabriela

ISBN 10: 3642282849 / ISBN 13: 9783642282843

Published by Springer, 2012

About this Item

Seller Inventory # 17851961-n

Bibliographic Details

• Title: Degenerate Nonlinear Diffusion Equations
• Publisher: Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 3642282849
• ISBN 13: 9783642282843
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.