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Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition
book

Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition

by Andrei D. Polyanin, Vladimir E. Nazaikinskii
December 2015
Intermediate to advanced content levelIntermediate to advanced
1643 pages
59h 33m
English
Chapman and Hall/CRC
Content preview from Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition
488 SECOND-ORDER PARABOLIC EQUATIONS WITH THREE OR MORE SPACE VARIABLES
Remarks on the Green’s functions.
For the three-dimensional problems dealt with in Section 5.1.2, the Green’s function can
be represented in the product form
G(r, ϕ, z, ξ, η, ζ, t) = G
1
(r, ϕ, ξ, η, t) G
2
(z, ζ, t),
where G
1
(r, ϕ, ξ, η, t) is the Green’s function of the two-dimensional boundary value prob-
lem (such functions are presented in Section 4.1.2), and G
2
(z, ζ, t) is the Green’s func-
tion of the corresponding one-dimensional boundary value problem (such functions can be
found in Sections 3.1.1 and 3.1.2).
Example 5.5. The Green’s function of the first boundary value problem ...
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Publisher Resources

ISBN: 9781466581494