Partial Differential Equations VIII - Overdetermined Systems Dissipative Singular Schroedinger Operator Index Theory (Paperback, Softcover reprint of the original 1st ed. 1996)

Consider a linear partial differential operator A that maps a vector-valued function Y = (Yl,"" Ym) into a vector-valued function I = (h, ..., II). We assume at first that all the functions, as well as the coefficients of the differen tial operator, are defined in an open domain Jl in the n-dimensional Euclidean n space IR, and that they are smooth (infinitely differentiable). A is called an overdetermined operator if there is a non-zero differential operator A' such that the composition A' A is the zero operator (and underdetermined if there is a non-zero operator A" such that AA" = 0). If A is overdetermined, then A'I = 0 is a necessary condition for the solvability of the system Ay = I with an unknown vector-valued function y. 3 A simple example in 1R is the operator grad, which maps a scalar func tion Y into the vector-valued function (8y/8x , 8y/8x2, 8y/8x3)' A necessary solvability condition for the system grad y = I has the form curl I = O."

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Encyclopaedia of Mathematical Sciences, 65
Release date:	April 2012
First published:	1996
Editors:	M.A. Shubin
Translators:	C. Constanda
Contributors:	P. I. Dudnikov • B.V. Fedosov • B.S. Pavlov • S.N. Samborski
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Paperback
Pages:	261
Edition:	Softcover reprint of the original 1st ed. 1996
ISBN-13:	978-3-642-48946-4
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	3-642-48946-X
Barcode:	9783642489464

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!