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Applications to Boundary Value Problems

In: Generalized Functions

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  • Ram P. Kanwal

    (The Pennsylvania State University, Department of Mathematics)

Abstract

In this chapter we present solutions to boundary value problems, arising in various disciplines of mathematical physics for axially symmetric bodies, including dumbbells, elongated rods, and prolate bodies, of which spheres and spheroids are special cases. The methods rest on exploring the fundamental solutions of partial differential equations, as presented in the previous chapters, and then taking a suitable axial distribution of the Dirac delta function and its derivatives on a segment of the axis of symmetry of the body. This idea is extended to include distribution of these functions on arbitrary straight lines, curves, and disks [47-55].

Suggested Citation

  • Ram P. Kanwal, 2004. "Applications to Boundary Value Problems," Springer Books, in: Generalized Functions, edition 0, chapter 0, pages 312-358, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-8174-6_11
    DOI: 10.1007/978-0-8176-8174-6_11
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