Partial Differential Equations in Anisotropic Musielak Orlicz Spaces is popular PDF and ePub book, written by Iwona Chlebicka in 2021-11-01, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Partial Differential Equations in Anisotropic Musielak Orlicz Spaces can be Read Online from any device for your convenience.
Partial Differential Equations in Anisotropic Musielak Orlicz Spaces Book PDF Summary
This book provides a detailed study of nonlinear partial differential equations satisfying certain nonstandard growth conditions which simultaneously extend polynomial, inhomogeneous and fully anisotropic growth. The common property of the many different kinds of equations considered is that the growth conditions of the highest order operators lead to a formulation of the equations in Musielak–Orlicz spaces. This high level of generality, understood as full anisotropy and inhomogeneity, requires new proof concepts and a generalization of the formalism, calling for an extended functional analytic framework. This theory is established in the first part of the book, which serves as an introduction to the subject, but is also an important ingredient of the whole story. The second part uses these theoretical tools for various types of PDEs, including abstract and parabolic equations but also PDEs arising from fluid and solid mechanics. For connoisseurs, there is a short chapter on homogenization of elliptic PDEs. The book will be of interest to researchers working in PDEs and in functional analysis.
Detail Book of Partial Differential Equations in Anisotropic Musielak Orlicz Spaces PDF
- Author : Iwona Chlebicka
- Release : 01 November 2021
- Publisher : Springer Nature
- ISBN : 9783030888565
- Genre : Mathematics
- Total Page : 389 pages
- Language : English
- PDF File Size : 16,5 Mb
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