Definition of Superharmonic. Meaning of Superharmonic. Synonyms of Superharmonic

- An overtone is any resonant frequency above the fundamental frequency of a sound. (An overtone may or may not be a harmonic) In other words, overtones...
- In mathematics, subharmonic and superharmonic functions are important classes of functions used extensively in partial differential equations, complex...
- shows that the solution is superharmonic on the contact set. Together, the two arguments imply that the solution is a superharmonic function. In fact, an application...
- infinity'. This technique is also used in the study of subharmonic and superharmonic functions. In order to define the Kelvin transform f* of a function...
- X_{s}\quad \forall s\leq t.} In potential theory, a superharmonic function f satisfies Δf ≤ 0. Any superharmonic function that is bounded below by a harmonic...
- {\displaystyle u\colon \Omega \subset \mathbb {R} ^{N}\to \mathbb {R} } is superharmonic whenever − Δ u ≥ 0 {\displaystyle -\Delta u\geq 0} . Let u : Ω → R {\displaystyle...
- curve, leading to interesting phenomena such as the foldover effect and superharmonic resonance. Harmonic vs. Anharmonic Oscillators An oscillator is a physical...
- surface of the ball (mean value property). Also subharmonic function and superharmonic function. Elementary function: composition of arithmetic operations...
- this principle may be applied in a similar fashion to subharmonic and superharmonic functions. To continue the example above, we can impose a growth condition...
- point y of the boundary satisfies a barrier condition if there exists a superharmonic function w y ( x ) {\displaystyle w_{y}(x)} , defined on the entire...