Methods for Solving Incorrectly Posed Problems
Morozov, V.A. Ed(s): Nashed, Z.
ISBN 10: 0387960597 ISBN 13: 9780387960593
Published by Springer-Verlag New York Inc., 1984
New
Soft cover
From
Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Seller rating 5 out of 5 stars
AbeBooks Seller since February 27, 2001
This specific item is no longer available.
About this Item
Description:
Editor(s): Nashed, Z. Translator(s): Aries, A. B. Num Pages: 280 pages, biography. BIC Classification: PBKS. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 14. Weight in Grams: 428. . 1984. Softcover reprint of the original 1st ed. 1984. Paperback. . . . . Seller Inventory # V9780387960593
Synopsis:
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.
Language Notes:
Text: English (translation)
Original Language: Russian
"About this title" may belong to another edition of this title.
Bibliographic Details
Title: Methods for Solving Incorrectly Posed ...
Publisher: Springer-Verlag New York Inc.
Publication Date: 1984
Binding: Soft cover
Condition: New
Top Search Results from the AbeBooks Marketplace
Stock Image
Methods for Solving Incorrectly Posed Problems
Seller: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.
Seller rating 5 out of 5 stars
Condition: Fine. First edition, first printing, 257 pp., Paperback, a TINY bit of discoloration to fore edge else fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1305627
Quantity: 1 available
Stock Image
Methods for Solving Incorrectly Posed Problems
Seller: ThriftBooks-Dallas, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Good. No Jacket. Former library book; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G0387960597I3N10
Quantity: 1 available
Seller Image
Methods for Solving Incorrectly Posed Problems
Seller: moluna, Greven, Germany
Seller rating 4 out of 5 stars
Condition: New. Seller Inventory # 5912650
Quantity: Over 20 available
Stock Image
Methods for Solving Incorrectly Posed Problems
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Feb2215580174685
Quantity: Over 20 available
Stock Image
Methods for Solving Incorrectly Posed Problems
Seller: Feldman's Books, Menlo Park, CA, U.S.A.
Seller rating 5 out of 5 stars
Paper Bound. Condition: Near Fine. First Edition. Clean, unmarked copy. Seller Inventory # 00030605
Quantity: 1 available
Seller Image
Methods for Solving Incorrectly Posed Problems
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 18631629-n
Quantity: 15 available
Stock Image
Methods for Solving Incorrectly Posed Problems (Paperback)
Published by
Springer-Verlag New York Inc., New York, NY, 1984
ISBN 10: 0387960597
ISBN 13: 9780387960593
New
Paperback
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780387960593
Quantity: 1 available
Seller Image
Methods for Solving Incorrectly Posed Problems
Published by
Springer, Springer Nov 1984, 1984
ISBN 10: 0387960597
ISBN 13: 9780387960593
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 280 pp. Englisch. Seller Inventory # 9780387960593
Quantity: 2 available
Seller Image
Methods for Solving Incorrectly Posed Problems
Published by
Springer New York, Springer US Nov 1984, 1984
ISBN 10: 0387960597
ISBN 13: 9780387960593
New
Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 280 pp. Englisch. Seller Inventory # 9780387960593
Quantity: 1 available
Stock Image
Methods for Solving Incorrectly Posed Problems
Seller: Chiron Media, Wallingford, United Kingdom
Seller rating 4 out of 5 stars
PF. Condition: New. Seller Inventory # 6666-IUK-9780387960593
Quantity: 10 available