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On Self-Adjoint Partial Differential Equations of the Second Order

Published online by Cambridge University Press:  20 January 2009

E. T. Copson
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Let be a linear differential expression involving n independent variables xi the coefficients Aik Bi, and C being functions of the independent variables but not involving the dependent variable u. Associated with F(u) is the adjoint expression

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 43 , February 1924 , pp. 35 - 38
Copyright
Copyright © Edinburgh Mathematical Society 1924

References

* See Courant u. Hilbert: Methoden der Mathematischen Physik. Band I., Kap. IV., §8.

† E.g. in Dynamics, the theorems of conservation of energy and momentum. See a paper by Noether, Emmy: Gött. Nach. (1918), p. 238.Google Scholar Also the present author's paper Proc. Edin. Math. Soc., 42, p 61.CrossRefGoogle Scholar