Your English writing platform
Discover LudwigExact(5)
The map u is stationary for Φ if it is a critical point of (Phi (u)) with respect to any compact supported variation of u, and u is stable if the second variation for the functional (Phi (u)) is nonnegative.
Then we investigate the infinite propagation speed in the sense that the corresponding solution with compact supported initial datum does not have compact spatial support any longer in its lifespan.
Then there exists a constant C such that M_{delta}^{sharp }T vec{f}) (x leq C prod _{j=1}^{m} Mf_{j}(x) (1.18) holds for any bounded and compact supported function (f_{i}), (i=1, 2, ldots, m).
Let T be the operator defined in (1.4) with the kernel satisfying the integral smooth condition of C-Z type I. Let (0compact supported functions (f_{i}), (i=1, ldots, m).
The Riesz-Markov-Kakutani representation theorem states that, for every positive functional L on the space (C_{c}(T)) of continuous compact supported functional on a locally compact Hausdorff space T, there exists a unique Borel regular measure μ on T such that (L f) =int f,dmu) for all (f in C_{c}(T)).
Similar(55)
for all with compact support.
(H3) has a compact support.
whenever, is nonnegative with compact support in.
for all with compact support in.
The constructed functions possess compact support.
Then (u y_0,y',y_n)) has also a compact support in (y').
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com