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Evolution Equations, Control Theory, and Biomathematics
  • Language: en
  • Pages: 618

Evolution Equations, Control Theory, and Biomathematics

  • Type: Book
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  • Published: 1993-11-23
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  • Publisher: CRC Press

Based on the Third International Workshop Conference on Evolution Equations, Control Theory and Biomathematics, held in Hans-sur-Lesse, Belgium. The papers examine important advances in evolution equations related to physical, engineering and biological applications.

Modern Analysis and Applications
  • Language: en
  • Pages: 518

Modern Analysis and Applications

This is the second of two volumes containing peer-reviewed research and survey papers based on talks at the International Conference on Modern Analysis and Applications. The papers describe the contemporary development of subjects influenced by Mark Krein.

Linear and Quasilinear Parabolic Problems
  • Language: en
  • Pages: 688

Linear and Quasilinear Parabolic Problems

This treatise gives an exposition of the functional analytical approach to quasilinear parabolic evolution equations, developed to a large extent by the author during the last 10 years. This approach is based on the theory of linear nonautonomous parabolic evolution equations and on interpolation-extrapolation techniques. It is the only general method that applies to noncoercive quasilinear parabolic systems under nonlinear boundary conditions. The present first volume is devoted to a detailed study of nonautonomous linear parabolic evolution equations in general Banach spaces. It contains a careful exposition of the constant domain case, leading to some improvements of the classical Sobolev...

Operator Theory and Numerical Methods
  • Language: en
  • Pages: 319

Operator Theory and Numerical Methods

  • Type: Book
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  • Published: 2001-07-03
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  • Publisher: Elsevier

In accordance with the developments in computation, theoretical studies on numerical schemes are now fruitful and highly needed. In 1991 an article on the finite element method applied to evolutionary problems was published. Following the method, basically this book studies various schemes from operator theoretical points of view. Many parts are devoted to the finite element method, but other schemes and problems (charge simulation method, domain decomposition method, nonlinear problems, and so forth) are also discussed, motivated by the observation that practically useful schemes have fine mathematical structures and the converses are also true.

Further Progress in Analysis
  • Language: en
  • Pages: 877

Further Progress in Analysis

The ISAAC (International Society for Analysis, its Applications and Computation) Congress, which has been held every second year since 1997, covers the major progress in analysis, applications and computation in recent years. In this proceedings volume, plenary lectures highlight the recent research results, while 17 sessions organized by well-known specialists reflect the state of the art of important subfields. This volume concentrates on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, inverse problems, functional differential and difference equations and integrable systems.

Complete Second Order Linear Differential Equations in Hilbert Spaces
  • Language: en
  • Pages: 225

Complete Second Order Linear Differential Equations in Hilbert Spaces

  • Type: Book
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  • Published: 2012-12-06
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  • Publisher: Birkhäuser

Incomplete second order linear differential equations in Banach spaces as well as first order equations have become a classical part of functional analysis. This monograph is an attempt to present a unified systematic theory of second order equations y" (t) + Ay' (t) + By (t) = 0 including well-posedness of the Cauchy problem as well as the Dirichlet and Neumann problems. Exhaustive yet clear answers to all posed questions are given. Special emphasis is placed on new surprising effects arising for complete second order equations which do not take place for first order and incomplete second order equations. For this purpose, some new results in the spectral theory of pairs of operators and the boundary behavior of integral transforms have been developed. The book serves as a self-contained introductory course and a reference book on this subject for undergraduate and post- graduate students and research mathematicians in analysis. Moreover, users will welcome having a comprehensive study of the equations at hand, and it gives insight into the theory of complete second order linear differential equations in a general context - a theory which is far from being fully understood.

Mathematical Methods in Engineering
  • Language: en
  • Pages: 451

Mathematical Methods in Engineering

This book contains some of the contributions that have been carefully selected and peer-reviewed, which were presented at the International Symposium MME06 Mathematical Methods in Engineering, held in Cankaya University, Ankara, April 2006. The Symposium provided a setting for discussing recent developments in Fractional Mathematics, Neutrices and Generalized Functions, Boundary Value Problems, Applications of Wavelets, Dynamical Systems and Control Theory.

Ten Papers on Functional Analysis and Measure Theory
  • Language: en
  • Pages: 278

Ten Papers on Functional Analysis and Measure Theory

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Trotter-Kato Product Formulæ
  • Language: en
  • Pages: 879

Trotter-Kato Product Formulæ

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