Nonlinear equations

著者

• Taylor, Michael Eugene

書誌事項

Nonlinear equations

Michael E. Taylor

（Applied mathematical sciences, v. 117 . Partial differential equations / Michael E. Taylor ; 3）

Springer, c1997

Corr. 2nd print.

注記

Includes bibliographical references and index

内容説明・目次

内容説明

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 surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is aimed at graduate students in mathematics, and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis and complex analysis.

目次

• 13) Function space and operator theory for nonlinear analysis
• 14) Nonlinear elliptic equations
• 15) Nonlinear parabolic equations
• 16) Nonlinear hyperbolic equations
• 17) Euler and Navier-Stokes equations for incompressible fluids
• 18) Einstein's equations

「Nielsen BookData」 より

• NII書誌ID(NCID): BA73640448
• ISBN:
  • 0387946527
• LCCN: 95054104
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: xxi, 608 p.
• 大きさ: 25 cm
• 分類:
  • NDC8 : 413.63
  • LCC : QA1
  • LCC : QA374
  • DC20 : 510 s
  • DC20 : 515/.353
• 件名:
  • LCSH : Differential equations, Partial
• 親書誌ID:
  • BA00020952