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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 AikBi, and C being functions of the independent variables but not involving the dependent variable u. Associated with F(u) is the adjoint expression

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