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Spaces of Measures and their Applications to Structured Population Models
  • Language: en
  • Pages: 321

Spaces of Measures and their Applications to Structured Population Models

Presents a comprehensive analytical framework for structured population models in spaces of Radon measures and their numerical approximation.

Discrete Variational Problems with Interfaces
  • Language: en
  • Pages: 275

Discrete Variational Problems with Interfaces

A systematic presentation of discrete-to-continuum results and methods, offering new perspectives on intrinsically discrete problems.

Quasi-Interpolation
  • Language: en
  • Pages: 291

Quasi-Interpolation

Delve into an in-depth description and analysis of quasi-interpolation, starting from various areas of approximation theory.

The Christoffel–Darboux Kernel for Data Analysis
  • Language: en
  • Pages: 185

The Christoffel–Darboux Kernel for Data Analysis

This accessible overview introduces the Christoffel-Darboux kernel as a novel, simple and efficient tool in statistical data analysis.

Geometry of the Phase Retrieval Problem
  • Language: en
  • Pages: 321

Geometry of the Phase Retrieval Problem

This book provides a theoretical foundation and conceptual framework for the problem of recovering the phase of the Fourier transform.

Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces
  • Language: en
  • Pages: 389

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.

Spaces of Measures and Their Applications to Structured Population Models
  • Language: en
  • Pages: 248
The Dirichlet Problem for the Laplacian in Bounded and Unbounded Domains
  • Language: en
  • Pages: 308

The Dirichlet Problem for the Laplacian in Bounded and Unbounded Domains

  • Type: Book
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  • Published: 1996-11-07
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  • Publisher: CRC Press

The Dirichlet Problem -?u=ƒ in G, u|?G=0 for the Laplacian in a domain GÌRn with boundary ?G is one of the basic problems in the theory of partial differential equations and it plays a fundamental role in mathematical physics and engineering.

The Cahn–Hilliard Equation: Recent Advances and Applications
  • Language: en
  • Pages: 231

The Cahn–Hilliard Equation: Recent Advances and Applications

  • Type: Book
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  • Published: 2019-09-09
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  • Publisher: SIAM

This is the first book to present a detailed discussion of both classical and recent results on the popular Cahn–Hilliard equation and some of its variants. The focus is on mathematical analysis of Cahn–Hilliard models, with an emphasis on thermodynamically relevant logarithmic nonlinear terms, for which several questions are still open. Initially proposed in view of applications to materials science, the Cahn–Hilliard equation is now applied in many other areas, including image processing, biology, ecology, astronomy, and chemistry. In particular, the author addresses applications to image inpainting and tumor growth. Many chapters include open problems and directions for future research. The Cahn-Hilliard Equation: Recent Advances and Applications is intended for graduate students and researchers in applied mathematics, especially those interested in phase separation models and their generalizations and applications to other fields. Materials scientists also will find this text of interest.

Pisma Jana Lama
  • Language: pl
  • Pages: 734

Pisma Jana Lama

  • Type: Book
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  • Published: 1938
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  • Publisher: Unknown

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