The One-Dimensional Heat Equation
Published on 6. November 2008
Book
Paperback/Softback
512 pages
978-0-521-08944-9 (ISBN)
Description
This is a version of Gevrey's classical treatise on the heat equations. Included in this volume are discussions of initial and/or boundary value problems, numerical methods, free boundary problems and parameter determination problems. The material is presented as a monograph and/or information source book. After the first six chapters of standard classical material, each chapter is written as a self-contained unit except for an occasional reference to elementary definitions, theorems and lemmas in previous chapters.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 27 mm
Weight
769 gr
ISBN-13
978-0-521-08944-9 (9780521089449)
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Schweitzer Classification
Other editions
Additional editions
John Rozier Cannon
The One-Dimensional Heat Equation
E-Book
07/2013
1st Edition
Cambridge University Press
€88.99
Available for download
Book
12/1984
Cambridge University Press
€195.20
Shipment within 15-20 days
Persons
Content
Editor's statement; Foreword Felix E. Browder; Preface; Preliminaries; 1. Introduction; 2. The Cauchy problem; 3. The initial-value problem; 4. The initial-boundary-value problem for the quarter plane with temperature-boundary specification; 5. The initial-boundary-value problem for the quarter plane with heat-flux-boundary specification; 6. The initial-boundary-value problem for the semi-infinite strip with temperature-boundary specification and heat-flux-boundary specification; 7. The reduction of some initial-boundary-value problems for the semi-infinite strip, to integral equations: some exercises; 8. Integral equations; 9. Solutions of boundary-value problems for all times and periodic solutions; 10. Analyticity of solutions; 11. Continuous dependence upon the data for some state-estimation problems; 12. Some numerical methods for some state-estimation problems; 13. Determination of an unknown time-dependent diffusivity a(t) from overspecified data; 14. Initial- and/or boundary-value problems for gneral regions with Hoelder continuous boundaries; 15. Some properties of solutions in general domains; 16. The solution in a general region with temperature-boundary specification: the method of perron-poincare; 17. The one-phase stefan problem with temperature-boundary specification; 18. The one-phase stefan problem with flux-boundary specification: some exercises; 19. The inhomogeneous heat equation ut=uxx+f(x,t); 20. An application of the inhomogeneous heat equation: the equation ut=uxx+f(x,t,u,ux); Symbol index; Subject index.