Plane waves and spherical means applied to partial differential equations /
This collection of results on partial differential equations employs certain elementary identities for plane and spherical integrals of an arbitrary function, showing how a variety of results on fairly general differential equations follow from those identities. Explores the decomposition of arbitra...
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| Format: | eBook |
| Language: | English |
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New York :
Springer-Verlag,
[198-?], 1955]
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Decomposition of an arbitrary function into plane waves
- The initial value problem for hyperbolic homogeneous equations with constant coefficients
- The fundamental solution of a linear elliptic differential equation with analytic coefficients
- Identities for spherical means
- The theorems of Asgeirsson and Howard
- Determination of a function from its integrals of spheres of a fixed radius
- Differentiability properties of solutions of elliptic systems
- Regularity properties for integrals of solutions over time-like lines.