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Results tagged with calculus-of-variations
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user 11211
Questions on the calculus of variations, which deals with the optimization of functionals mostly defined on infinite dimensional spaces.
5
votes
Accepted
Let $f$ be convex and $A$ a Borel subset of $\mathbb R^d$ on which $f$ is differentiable. Is...
Yes, since a convex function $f:\mathbb{R}^d\rightarrow\mathbb{R}$ is locally Lipschitz (see e.g. Theorem 6.3.1, pp. 236-239 of the book by L. C. Evans and R. F. Gariepy, Measure Theory and Fine Prope …
- 7,817
8
votes
Accepted
Hamilton equations for Classical Field Theory
There is a fundamental misunderstanding in your translation of Hamilton's formalism to classical field theory, which pertains to the proper identification of dynamical variables.
In classical mechanic …
- 7,817
20
votes
Accepted
Functional approach vs jet approach to Lagrangian field theory
I do not know if it is good form for MO to cite one's own papers when answering a question, but I will take the chance. This matter is addressed in quite a bit of detail in my joint paper with Romeo B …
- 7,817