methods solving incorrectly posed von morozov (5 Ergebnisse)

8° , Softcover/Paperback. 1.Auflage,. xviii, 257 Seiten Einband etwas berieben, Bibl.Ex., innen guter und sauberer Zustand 9783540960591 Sprache: Englisch Gewicht in Gramm: 382.

Paperback. Zustand: Brand New. 280 pages. 9.10x5.90x0.50 inches. In Stock.

Zustand: New.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Some problems of mathematical physics and analysis can be formulated as the problem of solving the equation f EUR F, (1) Au = f, where A: DA C U + F is an operator with a non-empty domain of definition D , in a metric space U, with range in a metric space F. The metrics A on U and F will be denoted by P and P ' respectively. Relative u F to the twin spaces U and F, J. Hadamard P-06] gave the following defini tion of correctness: the problem (1) is said to be well-posed (correct, properly posed) if the following conditions are satisfied: (1) The range of the value Q of the operator A coincides with A F ('sol vabi li ty' condition); (2) The equality AU = AU for any u ,u EUR DA implies the I 2 l 2 equality u = u ('uniqueness' condition); l 2 (3) The inverse operator A-I is continuous on F ('stability' condition). Any reasonable mathematical formulation of a physical problem requires that conditions (1)-(3) be satisfied. That is why Hadamard postulated that any 'ill-posed' (improperly posed) problem, that is to say, one which does not satisfy conditions (1)-(3), is non-physical. Hadamard also gave the now classical example of an ill-posed problem, namely, the Cauchy problem for the Laplace equation.

Taschenbuch. Zustand: Neu. Methods for Solving Incorrectly Posed Problems | V. A. Morozov | Taschenbuch | 257 S. | Englisch | 1984 | Springer | EAN 9780387960593 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.