Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4119
 Title: On Approximation of Linear Second Order Elliptic Partial Differential Equations with Analytic Coefficients Authors: Kumar, Devendra Keywords: Elliptic Partial Differential Equations; Bergman and Gilbert Integral Operator; Order and Type; Approximation Error Issue Date: 2007 Publisher: EUT Edizioni Università di Trieste Source: Devendra Kumar, "On Approximation of Linear Second Order Elliptic Partial Differential Equations with Analytic Coefficients”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 39 (2007), pp. 359–373. Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics39 (2007) Abstract: The linear second-order elliptic differential equationwith real-valued coefficients that are entire functions on $\Im^2$and whose coefficient $c(x, y) \leq 0$ on the disk $D : x^2+y^2\leq1$is given by$\Delta^2 v+a(x,y)v_x + b(x,y)v_y+c(x,y)v=0, (x,y)\in E^2$.The ideas of Bernstein and Saff have been applied by McCoy [9,10] to study the singularities of certain second-order elliptic equationswith singular coefficients. These results contain calculationsof order and type of entire function potentials in termsof best polynomial approximation errors. Here some inequalitiesconcerning order and type for the given equation have beenobtained. Type: Article URI: http://hdl.handle.net/10077/4119 ISSN: 0049-4704 Appears in Collections: Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.39 (2007)

###### Files in This Item:
File Description SizeFormat

CORE Recommender

#### Page view(s) 50

724
checked on Jun 28, 2022