Commit 2026-03-02 21:29 630ea421
View on Github →feat: weaken assumptions for integration by parts (#35870)
- Previously you had to prove that both functions are differentiable everywhere. Now you only have to show that each function is differentiable on the topological support of the other function.
- This is useful when one of the functions has compact support / a test function. Then the conditions on the other function can be weakened.
- This is used for Sobolev spaces.
- Most hypotheses to IBP are straightforwardly weakened, by adding an additional assumption.
- A few hypotheses are reformulated from
Differentiable ℝ fto∀ x ∈ tsupport g, DifferentiableAt ℝ f x. - Also add some straightforward lemmas about the interaction of
(t)supportandderiv. These are immediate analogues of lemmas forfderiv.