A Generalization of a Logarithmic Sobolev Inequality to the Hölder Class

Figure 2

Case (𝑥,𝑡),(𝑥′,𝑡)∈Ω_𝑇 with 𝑥≠𝑥′. (a): 𝑥′≠𝑥′. (b):𝑥′=𝑥′.

(a)

(b)