Linear and Nonlinear Perturbations of t... | WHSmith Books
Linear and Nonlinear Perturbations of the Operator div (Translations of Mathematical Monographs)

Linear and Nonlinear Perturbations of the Operator div (Translations of Mathematical Monographs)

By: V.G. Osmolovskii (author)Hardback

Up to 2 WeeksUsually despatched within 2 weeks

Description

The perturbation theory for the operator div is of particular interest in the study of boundary-value problems for the general nonlinear equation $F(\dot y,y,x)=0$. Taking as linearization the first order operator $Lu=C_{ij}u_{x_j}^i+C_iu^i$, one can, under certain conditions, regard the operator $L$ as a compact perturbation of the operator div. This book presents results on boundary-value problems for $L$ and the theory of nonlinear perturbations of $L$. Specifically, necessary and sufficient solvability conditions in explicit form are found for various boundary-value problems for the operator $L$. An analog of the Weyl decomposition is proved.The book also contains a local description of the set of all solutions (located in a small neighborhood of a known solution) to the boundary-value problems for the nonlinear equation $F(\dot y, y, x) = 0$ for which $L$ is a linearization. A classification of sets of all solutions to various boundary-value problems for the nonlinear equation $F(\dot y, y, x) = 0$ is given. The results are illustrated by various applications in geometry, the calculus of variations, physics, and continuum mechanics.

Contents

Notation Linear perturbations of the operator div Nonlinear perturbations of the operator div Appendix References.

Product Details

  • ISBN13: 9780821805862
  • Format: Hardback
  • Number Of Pages: 104
  • ID: 9780821805862
  • ISBN10: 082180586X

Delivery Information

  • Saver Delivery: Yes
  • 1st Class Delivery: Yes
  • Courier Delivery: Yes
  • Store Delivery: Yes

Prices are for internet purchases only. Prices and availability in WHSmith Stores may vary significantly

Close