Variational problems within the class of solutions of a partial differential equation
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- by Robert Delver PDF
- Trans. Amer. Math. Soc. 180 (1973), 265-289 Request permission
Abstract:
The subject of this paper is the optimization of a multiple integral over a domain $G$ of a function, containing as arguments the independent variables, the unknown function and its partial derivatives up to order $l$, within the class of all sufficiently smooth solutions in $G$ of a given partial differential equation of order greater than or equal to $2l$. Necessary conditions in the form of a boundary value problem are derived. A physical application occurs in the control with boundary and initial conditions of a process in $G$ that is described by a specific partial differential equation.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 180 (1973), 265-289
- MSC: Primary 49B15
- DOI: https://doi.org/10.1090/S0002-9947-1973-0320856-9
- MathSciNet review: 0320856