Stochastic Partial Differential Equations (Chapman & Hall/CRC Applied Mathematics & Nonlinear Science) - Hardcover

Book 5 of 38: Advances in Applied Mathematics

Chow, Pao-Liu

 
9781466579552: Stochastic Partial Differential Equations (Chapman & Hall/CRC Applied Mathematics & Nonlinear Science)
Hardcover
ISBN 10: 1466579552 ISBN 13: 9781466579552
Publisher: Chapman and Hall/CRC, 2014

Synopsis

Explore Theory and Techniques to Solve Physical, Biological, and Financial Problems

Since the first edition was published, there has been a surge of interest in stochastic partial differential equations (PDEs) driven by the Lévy type of noise. Stochastic Partial Differential Equations, Second Edition incorporates these recent developments and improves the presentation of material.

New to the Second Edition

  • Two sections on the Lévy type of stochastic integrals and the related stochastic differential equations in finite dimensions
  • Discussions of Poisson random fields and related stochastic integrals, the solution of a stochastic heat equation with Poisson noise, and mild solutions to linear and nonlinear parabolic equations with Poisson noises
  • Two sections on linear and semilinear wave equations driven by the Poisson type of noises
  • Treatment of the Poisson stochastic integral in a Hilbert space and mild solutions of stochastic evolutions with Poisson noises
  • Revised proofs and new theorems, such as explosive solutions of stochastic reaction diffusion equations
  • Additional applications of stochastic PDEs to population biology and finance
  • Updated section on parabolic equations and related elliptic problems in Gauss–Sobolev spaces

The book covers basic theory as well as computational and analytical techniques to solve physical, biological, and financial problems. It first presents classical concrete problems before proceeding to a unified theory of stochastic evolution equations and describing applications, such as turbulence in fluid dynamics, a spatial population growth model in a random environment, and a stochastic model in bond market theory. The author also explores the connection of stochastic PDEs to infinite-dimensional stochastic analysis.

"synopsis" may belong to another edition of this title.

About the Author

Pao-Liu Chow

"About this title" may belong to another edition of this title.

Publisher
Chapman and Hall/CRC
Publication date
2014
Language
English
ISBN 10 
1466579552
ISBN 13 
9781466579552
Binding
Hardcover
Edition number
2
Number of pages
334