Copied Methods for Solving Incorrectly Posed Problems
Methods for Solving Incorrectly Posed Problems
Some problems of mathematical physics and analysis can be formulated as the problem of solving the equation f 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 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.
Price Comparison
| Seller | Contact Seller | List Price | On Sale | Shipping | Best Promo | Final Price | Volume Discount | Financing | Availability | Seller's Page |
|---|---|---|---|---|---|---|---|---|---|---|
|
BEST PRICE 1 Product Purchase
|
|
$39.99 | $39.99 |
|
$39.99 | See Site | In stock | Visit Store |
Reviews
Questions & Answers
Advanced Media Planning
$109.99
Praxislehrbuch Steuerrecht
$29.99
BGB-Familienrecht und BGB-Erbrecht
$59.99
Geschftsbriefe mit Pfiff
$34.99
LACAME 2012
$169.99
Economic Simulations in Swarm: Agent-Based Modelling and Object Oriented Programming
$129.00
Marktorientiertes Tourismusmanagement 1
$39.99
Linear Elasticity of Elastic Circular Inclusions Part 2/Lineare Elastizittstheorie bei kreisrunden
$54.99
Implementierung von Nachhaltigkeit in den einzelnen Leistungsphasen der HOAI
$34.99
Geometry: Plane and Fancy
$39.99
Planimetrie
$59.99
Inverse Problems and Related Topics
$169.99
The Silver Mania
$39.99
Supplier Selection
$109.99
Transrational Resonances
$179.00
Sudan Divided
$54.99
uglingkrankheiten
$44.99
Gelenke und Gelenkwellen
$159.99
Corporate Social Capital and Liability
$169.00
Karriereberatung
$44.99
Progress in Neutron Capture Therapy for Cancer
$39.99
Rookie Toddler-First Concepts: Can You Find Colors?
$5.21
Objektorientierte Programmierung mit JavaScript
$19.99
Methods in Mouse Atherosclerosis
$84.99
ADO Programmer's Reference
$49.99
Die Enden des Krpers
$44.99
Notflle in Gynkologie und Geburtshilfe
$29.99
Crochet Iconic Women
$14.00
Drugs Handbook 199495
$29.99
Operative Planung in IT-Systemen fr die Produktionsplanung und -steuerung
$39.99
Towns and Decentralisation in India
$39.99
Lobbying in der Europischen Union
$59.99
Ambulante Pflege von A bis Z
$64.99
Bugs in My Hair (Hardcover)
$13.49
Nonmetalliferous Stratabound Ore Fields
$109.99
Atlas of the Newborn
$54.99
The Maple Handbook
$74.99
Handbook of Assessment and Diagnosis of Autism Spectrum Disorder
$249.99
Blast Injury Science and Engineering
$99.00
Atlas der Krebsmortalitt in der Schweiz 19701990
$54.99
