Springer monographs in mathematics partial differential equations in anisotropic musielak orlicz spaces

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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.

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.

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Taal: en

Bindwijze: Paperback

Oorspronkelijke releasedatum: 03 november 2022

Aantal pagina's: 389

Hoofdauteur: Iwona Chlebicka

Tweede Auteur: Piotr Gwiazda

Hoofduitgeverij: Springer Nature Switzerland AG

Editie: 1st ed. 2021

Product breedte: 155 mm

Product lengte: 235 mm

Studieboek: Nee

Verpakking breedte: 155 mm

Verpakking hoogte: 235 mm

Verpakking lengte: 235 mm

Verpakkingsgewicht: 617 g

EAN: 9783030888589

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