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The one-dimensional heat equation

Author: John Rozier Cannon
Publisher: Reading, Mass. : Addison-Wesley Pub. Co., 1984.
Series: Encyclopedia of mathematics and its applications, v. 23.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

This is a version of Gevrey's classical treatise on the heat equations.

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Cannon, John Rozier, 1938-
One-dimensional heat equation.
Reading, Mass. : Addison-Wesley Pub. Co., 1984
(DLC) 83025819
(OCoLC)10275917
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: John Rozier Cannon
ISBN: 9781107087552 1107087554
OCLC Number: 852899034
Notes: Includes indexes.
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (xxv, 483 pages) : illustrations.
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: 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.
Series Title: Encyclopedia of mathematics and its applications, v. 23.
Responsibility: John Rozier Cannon ; foreword by Felix E. Browder.

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