Abstract
We introduce an extension of the concept of variational derivative which allows us to derive an integral identity in the variational formalism. It is applied to characterize the kernel and range of the variational derivative and the divergence operator.
Similar content being viewed by others
References
IbragimovN.H., Lett. Math. Phys. 1, 423 (1977).
Gel'fandI.M. and DikiiL.A., Russian Math. Surveys 30:5, 77 (1975).
VainbergM., Variational Methods for the Study of Nonlinear Operators, Holden Day, San Francisco, 1964; see also: E. Tonti, Bull. Classe Sciences Acad. R. de Belgique 55, 137 (1969).
Galindo, A., to be published.
Author information
Authors and Affiliations
Additional information
Partially supported by the Junta de Energía Nuclear, Madrid.
Rights and permissions
About this article
Cite this article
Galindo, A., Martínez Alonso, L. Kernels and ranges in the variational formalism. Lett Math Phys 2, 385–390 (1978). https://doi.org/10.1007/BF00400164
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00400164