For 0 < s ≤ 1, we characterize those compact sets X with the property that each function harmonic in X̊ and satisfying a little o Lipschitz condition of order s is the limit in the Lipschitz norm of ...
Physical solutions to convex scalar conservation laws satisfy a one-sided Lipschitz conditions (OSLC) that enforces both the entropy condition and their total variation boundedness. Consistency with ...
Fourier analysis provides a powerful framework for decomposing functions into sums or integrals of sinusoidal components, thereby enabling the study of frequency content in signals. In tandem, ...