Subharmonic Function: Mathematics, Function (mathematics), Partial Differential Equation, Complex Analysis, Potential Theory, Convex Function, Harmonic Function, Semi-continuity, Continuous Function - Tapa blanda

Sinopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, subharmonic and superharmonic functions are important classes of functions used extensively in partial differential equations, complex analysis and potential theory. Intuitively, subharmonic functions are related to convex functions of one variable as follows. If the graph of a convex function and a line intersect at two points, then the graph of the convex function is below the line between those points. In the same way, if the values of a subharmonic function are no larger than the values of a harmonic function on the boundary of a ball, then the values of the subharmonic function are no larger than the values of the harmonic function also inside the ball.

"Sinopsis" puede pertenecer a otra edición de este libro.