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Monographs and Surveys in Pure and Applied Mathematics


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Higher Order Derivatives

Higher Order Derivatives

1st Edition

Satya Mukhopadhyay
January 25, 2012

The concept of higher order derivatives is useful in many branches of mathematics and its applications. As they are useful in many places, nth order derivatives are often defined directly. Higher Order Derivatives discusses these derivatives, their uses, and the relations among them. It covers...

Stable Solutions of Elliptic Partial Differential Equations

Stable Solutions of Elliptic Partial Differential Equations

1st Edition

Louis Dupaigne
March 15, 2011

Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, including mathematical physics (combustion, phase transition theory) and geometry (minimal surfaces). Stable Solutions of Elliptic Partial...

Quasilinear Hyperbolic Systems, Compressible Flows, and Waves

Quasilinear Hyperbolic Systems, Compressible Flows, and Waves

1st Edition

Vishnu D. Sharma
April 29, 2010

Filled with practical examples, Quasilinear Hyperbolic Systems, Compressible Flows, and Waves presents a self-contained discussion of quasilinear hyperbolic equations and systems with applications. It emphasizes nonlinear theory and introduces some of the most active research in the field. After...

Asymptotics and Borel Summability

Asymptotics and Borel Summability

1st Edition

Ovidiu Costin
December 04, 2008

Incorporating substantial developments from the last thirty years into one resource, Asymptotics and Borel Summability provides a self-contained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains basic ideas,...

Difference Methods for Singular Perturbation Problems

Difference Methods for Singular Perturbation Problems

1st Edition

Grigory I. Shishkin, Lidia P. Shishkina
September 22, 2008

  Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ε-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical...

Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications

Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications

1st Edition

Janusz Mierczynski, Wenxian Shen
March 24, 2008

Providing a basic tool for studying nonlinear problems, Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications focuses on the principal spectral theory for general time-dependent and random parabolic equations and systems. The text contains many new results and considers...

Isometries in Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two

Isometries in Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two

1st Edition

Richard J. Fleming, James E. Jamison
November 15, 2007

A continuation of the authors’ previous book, Isometries on Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two covers much of the work that has been done on characterizing isometries on various Banach spaces. Picking up where the first volume left off, the book begins...

Smooth Homogeneous Structures in Operator Theory

Smooth Homogeneous Structures in Operator Theory

1st Edition

Daniel Beltita
November 01, 2005

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures in Operator Theory builds the background needed to understand this circle of ideas and reports on recent developments in this fruitful field of research....

Fractional Cauchy Transforms

Fractional Cauchy Transforms

1st Edition

Rita A. Hibschweiler, Thomas H. MacGregor
November 01, 2005

Presenting new results along with research spanning five decades, Fractional Cauchy Transforms provides a full treatment of the topic, from its roots in classical complex analysis to its current state. Self-contained, it includes introductory material and classical results, such as those associated...

Stability of Infinite Dimensional Stochastic Differential Equations with Applications

Stability of Infinite Dimensional Stochastic Differential Equations with Applications

1st Edition

Kai Liu
August 23, 2005

Stochastic differential equations in infinite dimensional spaces are motivated by the theory and analysis of stochastic processes and by applications such as stochastic control, population biology, and turbulence, where the analysis and control of such systems involves investigating their stability...

An Introduction to Semiflows

An Introduction to Semiflows

1st Edition

Albert J. Milani, Norbert J. Koksch
October 14, 2004

This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). It focuses on the basic results of the theory of dynamical systems that can be extended naturally and applied to study the...

Shock Waves & Explosions

Shock Waves & Explosions

1st Edition

P.L. Sachdev
June 11, 2004

Understanding the causes and effects of explosions is important to experts in a broad range of disciplines, including the military, industrial and environmental research, aeronautic engineering, and applied mathematics. Offering an introductory review of historic research, Shock Waves and...

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