Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces (Hardcover, 1st ed. 2021)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Springer Monographs in Mathematics
Release date:	November 2021
First published:	2021
Authors:	Iwona Chlebicka • Piotr Gwiazda • Agnieszka Swierczewska-Gwiazda • Aneta Wroblewska-Kaminska
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	389
Edition:	1st ed. 2021
ISBN-13:	978-3-03-088855-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-03-088855-X
Barcode:	9783030888558

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