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

Lambert M Surhone

ISBN 10: 6130337523 / ISBN 13: 9786130337520

Published by VDM Verlag Dr. Müller E.K., 2010

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! 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.

Seller Inventory # 9786130337520

Bibliographic Details

• Title: Subharmonic Function : Mathematics, Function (mathematics), Partial Differential Equation, Complex Analysis, Potential Theory, Convex Function, Harmonic Function, Semi-continuity, Continuous Function
• Publisher: VDM Verlag Dr. Müller E.K.
• Publication Date: 2010
• Language: English
• ISBN 10: 6130337523
• ISBN 13: 9786130337520
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 22W x 15H x 0.6D centimeters 22 centimeters width by 15 centimeters height by 0.6 centimeters depth
• Weight: 171 grams

About this title

Synopsis

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.