Edmunds D.E., Triebel H. Function Spaces, Entropy Numbers, Differential Operators

Edmunds D.E., Triebel H. Function Spaces, Entropy Numbers, Differential Operators
  • разное
  • djvu
  • 1.32 МБ
  • добавлен 23.01.2012
Cambridge University Press, 1996. - 265 pages. Cambridge Tracts in Mathematics

The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Recent advances have shed new light on classical problems in this area, and this book presents a fresh approach, largely based on the results of the authors. The emphasis here is on a topic of central importance in analysis, namely the relationship between i) function spaces on Euclidean n-space and on domains; ii) entropy numbers in quasi-Banach spaces; and iii) the distribution of the eigenvalues of degenerate elliptic (pseudo) differential operators. The treatment is largely self-contained and accessible to nonspecialists.

- These are THE authors and this is their magnum opus
- Quite a lot of this stuff has never appeared in a book before

Смотрите также


Stone M. Methods of Mathematical Physics. Volume I

Stone M. Methods of Mathematical Physics. Volume I

  • разное
  • pdf
  • 1.67 МБ
  • добавлен 24.08.2011
PIMANDER-CASAUBON, 2002. - 315 pages.

These notes were prepared for PHYCS-498MMA, a fairly traditional onesemester mathematical methods course for begining graduate students in physics. The emphasis is on linear operators and stresses the analogy between such operators acting on function spaces and matrices acting on fi...
Taylor M.E. Partial Differential Equations II: Qualitative Studies of Linear Equations

Taylor M.E. Partial Differential Equations II: Qualitative Studies of Linear Equations

  • разное
  • pdf
  • 3.27 МБ
  • добавлен 14.01.2011
Springer, 2010. - 614 Pages.

This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book al...
Kracht M., Kreyszig E. Methods of Complex Analysis in Partial Differential Equations with Applications

Kracht M., Kreyszig E. Methods of Complex Analysis in Partial Differential Equations with Applications

  • разное
  • pdf
  • 6.58 МБ
  • добавлен 10.12.2010
John Wiley & Sons Inc, 1988. - 410 pages.
This book is devoted to the development of complex function theoretic methods in partial differential equations and to the study of analytic behaviour of solutions. It presents basic facts of the subject and includes recent results, emphasizing the method of integral operators an...
Taylor M.E. Partial Differential Equations III: Nonlinear Equations

Taylor M.E. Partial Differential Equations III: Nonlinear Equations

  • разное
  • pdf
  • 3.72 МБ
  • добавлен 14.01.2011
Springer, 2010. - 715 Pages.

The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal su...
Shubin M.A. Pseudodifferential Operators and Spectral Theory

Shubin M.A. Pseudodifferential Operators and Spectral Theory

  • разное
  • pdf
  • 5.3 МБ
  • добавлен 02.11.2011
2nd edition, Springer-Verlag Berlin, 2001, 288 pages.
This is the second edition of Shubin's classical book. It provides an introduction to the theory of pseudodifferential operators and Fourier integral operators from the very basics. The applications discussed include complex powers of elliptic operators, H?rmander asympt...
Wloka J., Rowley B., Lawruk B. Boundary Value Problems for Elliptic Systems

Wloka J., Rowley B., Lawruk B. Boundary Value Problems for Elliptic Systems

  • разное
  • djvu
  • 7.69 МБ
  • добавлен 29.10.2011
Cambridge University Press, 1995. - 658 pages.

The theory of boundary value problems for elliptic systems of partial differential equations has many applications in mathematics and the physical sciences. The aim of this book is to "algebraize" the index theory by means of pseudo-differential operators and new methods i...
Hassani S. Mathematical Physics: A Modern Introduction to Its Foundations

Hassani S. Mathematical Physics: A Modern Introduction to Its Foundations

  • разное
  • pdf
  • 33.79 МБ
  • добавлен 24.06.2011
Springer, 1999. - 1046 pages.

This book is for physics students interested in the mathematics they use and for mathematics students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation tries to strike a balance between formalism and application, between ...
Evans L.C. Partial Differential Equations

Evans L.C. Partial Differential Equations

  • разное
  • djvu
  • 4.67 МБ
  • добавлен 10.12.2010
American Mathematical Society, 1998. - 662 pages.
This text gives a comprehensive survey of modern techniques in the theoretical study of partial differential equations (PDEs) with particular emphasis on nonlinear equations. The exposition is divided into three parts: 1) representation formulas for solutions, 2) theory for l...
Galaktionov V.A., Svirshchevskii S.R. Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

Galaktionov V.A., Svirshchevskii S.R. Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

  • разное
  • pdf
  • 3.35 МБ
  • добавлен 12.12.2010
Chapman and Hall/CRC, 2006. - 528 p.

Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the first book to provide a systematic construction of exact solutions via linear invariant subspaces for nonlinear differential operators. Acting as a guide to nonlinear e...
Nazaikinskii V.E., Shatalov V.E., Sternin B.Y. Contact Geometry and Linear Differential Equations

Nazaikinskii V.E., Shatalov V.E., Sternin B.Y. Contact Geometry and Linear Differential Equations

  • разное
  • pdf
  • 3.82 МБ
  • добавлен 11.12.2010
Walter de Gruyter, 1993. - 216 pages.
Contains three chapters titled: Homogeneous Functions, Fourier Transformation, and Contact Structures; Fourier-Maslov Operators; and Applications to Differential Equations.