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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Differential calculus and equations > The Oblique Derivative Problem: (Mathematical Topics S.)
The Oblique Derivative Problem: (Mathematical Topics S.)

The Oblique Derivative Problem: (Mathematical Topics S.)


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About the Book

The Oblique Derivative Problem is one of the classical problems in the theory of Partial Differential Equations as well as in Mathematical Physics. In a very important particular case the vector field of the problem is tangent to the boundary of a domain on a subset. This case was introduced and studied by Henri Poincare when investigating the tides on the Earth. Apart from this, the problem arises naturally when determining the gravitational fields of the Moon, the Earth and other celestial bodies. This is the first monograph, written by one of the leading scientists in thisarea, which is completely devoted to the Oblique Derivative Problem. All the main results in this field are described with full proofs based on modern techniques. The book contains a lot of results that have been unknown to a wide audience till now. A special chapter containing extensive material from geometry, functional analysis and differential equations, which is used in the proofs, makes the book self-contained to a large extent. A short Appendix containing open problems will stimulate the reader to further research in this area.

Table of Contents:
Preparatory material; statement of the problem and main results; the Poincar problem: degeneracy on a manifold; sharp regularity estimates for the solution of the oblique derivative problem; lemmas on ordinary differential operators with parameters; some unsolved problems.

About the Author :
Boris Paneah, Prof., Technion Haifa, Israel

Review :
..".collects important results which concern ...very carefully written...can be used by...students as a textbook for courses in boundary value problems...also by professional mathematicians working in...partial differential equations, operator theory, stochastic processes, etc." ("Mathematical Reviews," 2001 i) "The author has striven to make this book accessible to a wide circle of readers?" The Mathematical Gazette, March 2002


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Product Details
  • ISBN-13: 9783527401130
  • Publisher: Wiley-VCH Verlag GmbH
  • Publisher Imprint: Wiley-VCH Verlag GmbH
  • Height: 245 mm
  • Returnable: N
  • Weight: 820 gr
  • ISBN-10: 352740113X
  • Publisher Date: 10 Apr 2000
  • Binding: Hardback
  • Language: English
  • Series Title: Mathematical Topics S.
  • Width: 176 mm


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