Skip navigation

Bookboon.com Descarga eBooks y libros de texto gratis

Choose a category

Partial differential equations and operators

Fundamental solutions and semigroups Part II

Partial differential equations and operators
Aún no ha sido puntuado
ISBN: 978-87-403-2362-7
3 edición
Páginas : 249
  • Price: 129,00 kr
  • Price: €13,99
  • Price: £13,99
  • Price: ₹250
  • Price: $13,99
  • Price: 129,00 kr
  • Price: 129,00 kr

Descarga GRATIS tus ebooks en 4 sencillos pasos

Lo sentimos, pero para poder descargar nuestros libros o ver nuestros vídeos, necesitas un navegador que permita JavaScript.
¿Podemos sugerirle eBooks gratuitos y noticias relevantes sobre Bookboon?
Después de introducir tu dirección de correo electrónico, recibirás un correo de confirmación. Confirma este correo para recibir el boletín de noticias mensual con respecto a libros de texto gratuitos. Los datos de contacto que nos proporciones no serán proporcionados a terceros.
eLib
Unlock your organization's learning potential
See Demo

Corporate eLibrary

Discover our employee learning solutions

This is a Premium eBook

Bookboon Premium - Gain access to over 800 eBooks - without ads

You can get free access for a month to this - and 800 other books with the Premium Subscription. You can also buy the book below

  • Start a 30-day free trial. After trial: 39,99 kr p/m
  • Start a 30-day free trial. After trial: €5,99 p/m
  • Start a 30-day free trial. After trial: £4,99 p/m
  • Start a 30-day free trial. After trial: ₹299 p/m
  • Start a 30-day free trial. After trial: $3,99 p/m
  • Start a 30-day free trial. After trial: 39,99 kr p/m
  • Start a 30-day free trial. After trial: 39,99 kr p/m
eLib
Unlock your organization's learning potential
Click here!

Corporate eLibrary

Discover our employee learning solutions

Acerca del libro

  1. Descripción
  2. Contenido

Descripción

In this book, which is basically self-contained, we concentrate on partial differential equations in mathematical physics and on operator semigroups with their generators. A central theme is a thorough treatment of distribution theory. This is done via convolution products, Fourier transforms, and fundamental solutions of partial differential operators with constant coefficients. Linear initial value problems are treated via operator semigroups. A relationship between so-called Feller-Dynkin semigroups and Markov processes is described. Finally, Feynman-Kac semigroups are introduced.

Contenido

To see Section 1–4 download Partial differential equations and operators: Part I

  1. Operators in Hilbert space
    1. Some results in Banach algebras
    2. Symbolic calculus
    3. On square roots in Banach algebras
    4. On C*-algebras
    5. On Gelfand transforms
    6. Resolution of the identity
    7. Closed linear operators
  2. Operator semigroups and Markov processes
    1. Generalities on semigroups
    2. Examples
    3. Uniformly continuous semigroups
    4. Self-adjoint semigroups
    5. Translation group
    6. Gaussian semigroup
    7. Wave operator
    8. Adjoint semigroups
    9. Dyson-Phillips expansion
    10. Stone’s theorem
    11. Convolution semigroups of measures
    12. Semigroups acting on operators
    13. Quantum dynamical semigroups
    14. Semigroups for system theory
    15. Semigroups and pseudo-differential operators
    16. Quadratic forms and semigroups
    17. Ornstein-Uhlenbeck semigroup
    18. Evolutions and semigroups
    19. Markov processes
    20. Feynman-Kac semigroups
    21. KMS formula
    22. Harmonic functions on a strip
  3. Holomorphic semigroups
    1. Introduction
    2. Exponentially bounded analytic semigroups
    3. Bounded analytic semigroups
    4. Bounded analytic semigroups and the Crank-Nicolson iteration scheme
    5. Stability of the Crank-Nicolson iteration scheme
  4. Elements of functional analysis
    1. Theorem of Hahn-Banach
    2. Baire category
    3. Banach-Steinhaus theorems: barreled spaces
    4. The open mapping theorem
    5. Krein-Smulian and the Eberlein-Smulian theorem
This website uses cookies to improve user experience. By using our website you consent to all cookies in accordance with EU regulation.