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

 
9786130337520: Subharmonic Function: Mathematics, Function (mathematics), Partial Differential Equation, Complex Analysis, Potential Theory, Convex Function, Harmonic Function, Semi-continuity, Continuous Function
Softcover
ISBN 10: 6130337523 ISBN 13: 9786130337520
Publisher: Betascript Publishers, 2010

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.

"synopsis" may belong to another edition of this title.

Reseña del editor

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.

"About this title" may belong to another edition of this title.

Publisher
Betascript Publishers
Publication date
2010
Language
English
ISBN 10 
6130337523
ISBN 13 
9786130337520
Binding
Tapa blanda
Number of pages
104
Editor
Surhone Lambert M., Timpledon Miriam T., Marseken Susan F.