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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces

Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces

Gwiazda, Piotr
Chlebicka, Iwona
Świerczewska-Gwiazda, Agnieszka

Hardcover

Series: Springer Monographs in Mathematics

General Mathematics

ISBN10: 303088855X
ISBN13: 9783030888558
Publisher: Springer Nature
Published: Nov 2 2021
Pages: 389
Weight: 1.63
Height: 0.94 Width: 6.14 Depth: 9.21
Language: English

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.

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