Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative

Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative

Free delivery worldwide

Available. Dispatched from the UK in 3 business days
When will my order arrive?

Description

Offering in-depth analyses of current theories and approaches related to Sobolev-type equations and systems, this reference is the first to introduce a classification of equations and systems not solvable with respect to the highest order derivative, and it studies boundary value problems for these classes of equations. Presenting 2200 equations, this volume studies specific partial differential equations for applications in mechanics, physics, hydrodynamics, and oceanography and presents previously unpublished results, solvability theorems, and research. It includes mathematical results from S.L. Sobolev's study on the small oscillations of a rotating fluid and more.
show more

Product details

  • Hardback | 632 pages
  • 157.48 x 230.63 x 29.21mm | 862g
  • CRC Press Inc
  • Bosa Roca, United States
  • English
  • 0824740394
  • 9780824740399

Table of contents

Preliminaries the Cauchy problem for equations not solved relative to the higher-order derivative; the Cauchy problem for non-Cauchy-Kovalevskaya type systems; mixed problems in the quarter of the space; qualitative properties of solutions toSobolev-type equations. Appendices: S.L. Sobolev - on a new problem in mathematical physics; bibliographic comments; literature.
show more

Review quote

"Offering in-depth analyses of current theories and approaches related to Sobolev-type equations and systems, this text/reference is the first to introduce a classification of equations and systems not solvable with respect to a higher-order derivative, and studies boundary-value problems for these classes of equations. It presents previously unpublished results, solvability theorems, and research." - L'Enseignement Mathematique, Vol. 50, 1-2, Jan-Jun 2004
show more