Generalized Orlicz Spaces And Related Pde
Download Generalized Orlicz Spaces And Related Pde full books in PDF, epub, and Kindle. Read online free Generalized Orlicz Spaces And Related Pde ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Petteri Harjulehto |
Publisher | : Springer |
Total Pages | : 169 |
Release | : 2019-05-07 |
Genre | : Mathematics |
ISBN | : 303015100X |
Download Orlicz Spaces and Generalized Orlicz Spaces Book in PDF, Epub and Kindle
This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating Φ-function. It introduces and develops a technique centered on the use of equivalent Φ-functions. Results from classical functional analysis are presented in detail and new material is included on harmonic analysis. Extrapolation is used to prove, for example, the boundedness of Calderón–Zygmund operators. Finally, central results are provided for Sobolev spaces, including Poincaré and Sobolev–Poincaré inequalities in norm and modular forms. Primarily aimed at researchers and PhD students interested in Orlicz spaces or generalized Orlicz spaces, this book can be used as a basis for advanced graduate courses in analysis.
Author | : |
Publisher | : |
Total Pages | : |
Release | : 2016 |
Genre | : |
ISBN | : |
Download Generalized Orlicz Spaces and Related PDE. Book in PDF, Epub and Kindle
Author | : Iwona Chlebicka |
Publisher | : Springer Nature |
Total Pages | : 389 |
Release | : 2021-11-01 |
Genre | : Mathematics |
ISBN | : 3030888568 |
Download Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces Book in PDF, Epub and Kindle
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.
Author | : J. Musielak |
Publisher | : Lecture Notes in Mathematics |
Total Pages | : 236 |
Release | : 1983-11 |
Genre | : Mathematics |
ISBN | : |
Download Orlicz Spaces and Modular Spaces Book in PDF, Epub and Kindle
Author | : Iwona Chlebicka |
Publisher | : |
Total Pages | : 0 |
Release | : 2021 |
Genre | : |
ISBN | : 9783030888572 |
Download Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces Book in PDF, Epub and Kindle
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.
Author | : Toni Heikkinen |
Publisher | : |
Total Pages | : 11 |
Release | : 2006 |
Genre | : |
ISBN | : |
Download Characterizations of Orlicz-Sobolev spaces in terms of generalized Orlicz-Poincaré inequalities Book in PDF, Epub and Kindle
Author | : |
Publisher | : |
Total Pages | : |
Release | : 1983 |
Genre | : |
ISBN | : 9780387127064 |
Download Orlicz spaces and modular spaces Book in PDF, Epub and Kindle
Author | : M.M. Rao |
Publisher | : CRC Press |
Total Pages | : 472 |
Release | : 1991-03-14 |
Genre | : Mathematics |
ISBN | : 9780824784782 |
Download Theory of Orlicz SPates Book in PDF, Epub and Kindle
A reference/text for mathematicians or students involved in analysis, differential equations, probability theory, and the study of integral operators where only Lebesgue spaces were used in the past. Updates and extends the pioneering work by Krasnosel'skii and Rutickii in their 1958 treatise on Orl
Author | : David V. Cruz-Uribe |
Publisher | : Springer Science & Business Media |
Total Pages | : 316 |
Release | : 2013-02-12 |
Genre | : Mathematics |
ISBN | : 3034805489 |
Download Variable Lebesgue Spaces Book in PDF, Epub and Kindle
This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent p with a variable exponent p(x). They were introduced in the early 1930s but have become the focus of renewed interest since the early 1990s because of their connection with the calculus of variations and partial differential equations with nonstandard growth conditions, and for their applications to problems in physics and image processing. The book begins with the development of the basic function space properties. It avoids a more abstract, functional analysis approach, instead emphasizing an hands-on approach that makes clear the similarities and differences between the variable and classical Lebesgue spaces. The subsequent chapters are devoted to harmonic analysis on variable Lebesgue spaces. The theory of the Hardy-Littlewood maximal operator is completely developed, and the connections between variable Lebesgue spaces and the weighted norm inequalities are introduced. The other important operators in harmonic analysis - singular integrals, Riesz potentials, and approximate identities - are treated using a powerful generalization of the Rubio de Francia theory of extrapolation from the theory of weighted norm inequalities. The final chapter applies the results from previous chapters to prove basic results about variable Sobolev spaces.
Author | : Toni Heikkinen |
Publisher | : |
Total Pages | : 23 |
Release | : 2006 |
Genre | : |
ISBN | : |
Download Sharp self-improving properties of generalized Orlicz-Poincaré inequalities in connected metric measure spaces Book in PDF, Epub and Kindle