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That is, there exist and such that.
Assume that is a coercive continuous bilinear form, that is, there exist positive constants such that.
Let us take with compact support, that is, there exist, such that if and if.
Assumption [H2]: is exponentially stable, that is, there exist and such that (2.11).
then the -semigoup is exponentially stable, that is, there exist two positives constants such that (4.5).
That is, there exist a -distance and such that for all.
That is, there exist and, for all such that, for all.
where is a coercive continuous bilinear form, that is, there exist positive constants and such that.
Suppose that there exists an such that is not -convex, that is, there exist such that.
Given nonlinear regular fuzzy functions and satisfy global Lipschitz conditions, that is, there exist finite constants such that (3.7).
where,,,, is continuous function and is uniformly Hölder continuous in, that is, there exist and such that (4.2).
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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