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Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces

SPAR
kr 320

Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces

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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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.


Produktdetaljer
Sprog: Engelsk
Sider: 389
ISBN-13: 9783030888589
Indbinding: Paperback
Udgave:
ISBN-10: 3030888584
Udg. Dato: 3 nov 2022
Længde: 0mm
Bredde: 235mm
Højde: 155mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 3 nov 2022
Forfatter(e) Aneta Wroblewska-Kaminska, Iwona Chlebicka, Agnieszka Swierczewska-Gwiazda, Piotr Gwiazda


Kategori Funktionsanalyse og transformation


Sprog Engelsk


Indbinding Paperback


Sider 389


Udgave


Længde 0mm


Bredde 235mm


Højde 155mm


Udg. Dato 3 nov 2022


Oplagsdato 3 nov 2022

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