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Generalized Orlicz Spaces And Related Pde


Generalized Orlicz Spaces And Related Pde
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Orlicz Spaces And Generalized Orlicz Spaces


Orlicz Spaces And Generalized Orlicz Spaces
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Author : Petteri Harjulehto
language : en
Publisher: Springer
Release Date : 2019-05-07

Orlicz Spaces And Generalized Orlicz Spaces written by Petteri Harjulehto and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-07 with Mathematics categories.


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.



Generalized Orlicz Spaces And Related Pde


Generalized Orlicz Spaces And Related Pde
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Author :
language : en
Publisher:
Release Date : 2016

Generalized Orlicz Spaces And Related Pde written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.




Partial Differential Equations In Anisotropic Musielak Orlicz Spaces


Partial Differential Equations In Anisotropic Musielak Orlicz Spaces
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Author : Iwona Chlebicka
language : en
Publisher: Springer Nature
Release Date : 2021-11-01

Partial Differential Equations In Anisotropic Musielak Orlicz Spaces written by Iwona Chlebicka and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-01 with Mathematics categories.


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.



Regularity For Orlicz Phase Problems


Regularity For Orlicz Phase Problems
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Author : Sumiya Baasandorj
language : en
Publisher: American Mathematical Society
Release Date : 2025-05-29

Regularity For Orlicz Phase Problems written by Sumiya Baasandorj and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-29 with Mathematics categories.


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Mathematical Analysis And Its Applications


Mathematical Analysis And Its Applications
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Author : S. M. Mazhar
language : en
Publisher: Elsevier
Release Date : 2014-05-17

Mathematical Analysis And Its Applications written by S. M. Mazhar and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-17 with Mathematics categories.


Mathematical Analysis and its Applications covers the proceedings of the International Conference on Mathematical Analysis and its Applications. The book presents studies that discuss several mathematical analysis methods and their respective applications. The text presents 38 papers that discuss topics, such as approximation of continuous functions by ultraspherical series and classes of bi-univalent functions. The representation of multipliers of eigen and joint function expansions of nonlocal spectral problems for first- and second-order differential operators is also discussed. The book will be of great interest to researchers and professionals whose work involves the use of mathematical analysis.



Applications Of Orlicz Spaces


Applications Of Orlicz Spaces
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Author : M.M. Rao
language : en
Publisher: CRC Press
Release Date : 2002-02-08

Applications Of Orlicz Spaces written by M.M. Rao and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-08 with Mathematics categories.


Presents previously unpublished material on the fundumental pronciples and properties of Orlicz sequence and function spaces. Examines the sample path behavior of stochastic processes. Provides practical applications in statistics and probability.



Weak And Measure Valued Solutions To Evolutionary Pdes


Weak And Measure Valued Solutions To Evolutionary Pdes
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Author : J. Malek
language : en
Publisher: CRC Press
Release Date : 2019-08-16

Weak And Measure Valued Solutions To Evolutionary Pdes written by J. Malek and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-16 with Mathematics categories.


This book provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. It provides a rigorous analysis of non-Newtonian fluids, and outlines its results for applications in physics, biology, and mechanical engineering.



Weighted Sobolev Spaces


Weighted Sobolev Spaces
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Author : Alois Kufner
language : en
Publisher:
Release Date : 1985-07-23

Weighted Sobolev Spaces written by Alois Kufner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-07-23 with Mathematics categories.


A systematic account of the subject, this book deals with properties and applications of the Sobolev spaces with weights, the weight function being dependent on the distance of a point of the definition domain from the boundary of the domain or from its parts. After an introduction of definitions, examples and auxilliary results, it describes the study of properties of Sobolev spaces with power-type weights, and analogous problems for weights of a more general type. The concluding chapter addresses applications of weighted spaces to the solution of the Dirichlet problem for an elliptic linear differential operator.



A First Course In Sobolev Spaces


A First Course In Sobolev Spaces
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Author : Giovanni Leoni
language : en
Publisher: American Mathematical Society
Release Date : 2024-04-17

A First Course In Sobolev Spaces written by Giovanni Leoni and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-17 with Mathematics categories.


This book is about differentiation of functions. It is divided into two parts, which can be used as different textbooks, one for an advanced undergraduate course in functions of one variable and one for a graduate course on Sobolev functions. The first part develops the theory of monotone, absolutely continuous, and bounded variation functions of one variable and their relationship with Lebesgue–Stieltjes measures and Sobolev functions. It also studies decreasing rearrangement and curves. The second edition includes a chapter on functions mapping time into Banach spaces. The second part of the book studies functions of several variables. It begins with an overview of classical results such as Rademacher's and Stepanoff's differentiability theorems, Whitney's extension theorem, Brouwer's fixed point theorem, and the divergence theorem for Lipschitz domains. It then moves to distributions, Fourier transforms and tempered distributions. The remaining chapters are a treatise on Sobolev functions. The second edition focuses more on higher order derivatives and it includes the interpolation theorems of Gagliardo and Nirenberg. It studies embedding theorems, extension domains, chain rule, superposition, Poincaré's inequalities and traces. A major change compared to the first edition is the chapter on Besov spaces, which are now treated using interpolation theory.



Tbilisi Analysis And Pde Seminar


Tbilisi Analysis And Pde Seminar
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Author : Roland Duduchava
language : en
Publisher: Springer Nature
Release Date : 2024-08-20

Tbilisi Analysis And Pde Seminar written by Roland Duduchava and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-20 with Mathematics categories.


The aim of this volume is to present some new developments and ideas in partial differential equations and mathematical analysis, including spectral analysis and boundary value problems for PDE, harmonic analysis, inequalities, integral equations, and applications. This book is a collection of short summaries of reports from lectures delivered at Tbilisi Analysis & PDE seminars and workshops. In particular, it contains some applications and several open questions aimed at inspiring further research. The volume contains 21 research articles.