MARC details
| 000 -LEADER |
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| fixed length control field |
06561cam a22004454i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20221101184009.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
040129s2002 pau b 001 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2001042994 |
| 011 ## - LINKING LIBRARY OF CONGRESS CONTROL NUMBER [OBSOLETE] |
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| Local cataloguing issues note |
BIB MATCHES WORLDCAT |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0898714869 |
| Qualifying information |
pbk. |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9780898714869 |
| Qualifying information |
pbk. |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(ATU)b10818297 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(DLC) 2001042994 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)47254274 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Modifying agency |
ATU |
| 042 ## - AUTHENTICATION CODE |
|---|
| Authentication code |
pcc |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA402.3 |
| Item number |
.L333 2002 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
629.8312 |
| Edition number |
21 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Lasiecka, I. |
| Fuller form of name |
(Irena), |
| Dates associated with a name |
1948- |
| Relator term |
author. |
| 9 (RLIN) |
257785 |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Mathematical control theory of coupled PDEs / |
| Statement of responsibility, etc. |
Irena Lasiecka. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Philadelphia : |
| Name of producer, publisher, distributor, manufacturer |
Society for Industrial and Applied Mathematics, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2002] |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Date of production, publication, distribution, manufacture, or copyright notice |
©2002 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xii, 242 pages ; |
| Dimensions |
25 cm. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
unmediated |
| Media type code |
n |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
volume |
| Carrier type code |
nc |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
CBMS-NSF regional conference series in applied mathematics ; |
| Volume/sequential designation |
75 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Includes bibliographical references (pages 225-238) and index. |
| 505 00 - FORMATTED CONTENTS NOTE |
|---|
| Title |
Preface -- |
| Miscellaneous information |
1. |
| Title |
Introduction -- |
| Miscellaneous information |
1.1. |
| Title |
Control Theory of Dynamical PDEs -- |
| Miscellaneous information |
1.1.1. |
| Title |
Finite- versus infinite-dimensional control theory -- |
| Miscellaneous information |
1.1.2. |
| Title |
Boundary/point control problems for single PDEs -- |
| Miscellaneous information |
1.1.3. |
| Title |
Boundary/point control problems for systems of coupled PDEs -- |
| Miscellaneous information |
1.2. |
| Title |
Goal of the Lectures -- |
| Miscellaneous information |
2. |
| Title |
Well-Posedness of Second-Order Nonlinear Equations with Boundary Damping -- |
| Miscellaneous information |
2.1. |
| Title |
Orientation -- |
| Miscellaneous information |
2.2. |
| Title |
Abstract Model -- |
| Miscellaneous information |
2.3. |
| Title |
Existence and Uniqueness: Statement of Main Results -- |
| Miscellaneous information |
2.4. |
| Title |
Nonlinear Plates: von Karman Equations -- |
| Miscellaneous information |
2.4.1. |
| Title |
Case [gamma] > 0 -- |
| Miscellaneous information |
2.4.2. |
| Title |
Case [gamma] = 0 -- |
| Miscellaneous information |
2.5. |
| Title |
Semilinear Wave Equation -- |
| Miscellaneous information |
2.6. |
| Title |
Nonlinear Structural Acoustic Model -- |
| Miscellaneous information |
2.7. |
| Title |
Full von Karman Systems -- |
| Miscellaneous information |
2.7.1. |
| Title |
Model -- |
| Miscellaneous information |
2.7.2. |
| Title |
Formulation of the results: Case [gamma] = 0 -- |
| Miscellaneous information |
2.7.3. |
| Title |
Formulation of the results: Case [gamma] > 0 -- |
| Miscellaneous information |
2.8. |
| Title |
Comments and Open Problems -- |
| Miscellaneous information |
3. |
| Title |
Uniform Stabilizability of Nonlinear Waves and Plates -- |
| Miscellaneous information |
3.1. |
| Title |
Orientation -- |
| Miscellaneous information |
3.2. |
| Title |
Abstract Stabilization Inequalities -- |
| Miscellaneous information |
3.3. |
| Title |
Semilinear Wave Equation with Nonlinear Boundary Damping -- |
| Miscellaneous information |
3.3.1. |
| Title |
Formulation of the results -- |
| Miscellaneous information |
3.3.2. |
| Title |
Regularization -- |
| Miscellaneous information |
3.3.3. |
| Title |
Preliminary PDE inequalities -- |
| Miscellaneous information |
3.3.4. |
| Title |
Absorption of the lower-order terms -- |
| Miscellaneous information |
3.3.5. |
| Title |
Completion of the proof of the main theorem -- |
| Miscellaneous information |
3.4. |
| Title |
Nonlinear Plate Equations -- |
| Miscellaneous information |
3.4.1. |
| Title |
Modified von Karman equations -- |
| Miscellaneous information |
3.4.2. |
| Title |
Full von Karman system and dynamic system of elasticity -- |
| Miscellaneous information |
3.4.3. |
| Title |
Nonlinear plates with thermoelasticity -- |
| Miscellaneous information |
3.5. |
| Title |
Comments and Open Problems -- |
| Miscellaneous information |
4. |
| Title |
Uniform Stability of Structural Acoustic Models -- |
| Miscellaneous information |
4.1. |
| Title |
Orientation -- |
| Miscellaneous information |
4.2. |
| Title |
Internal Damping on the Wall -- |
| Miscellaneous information |
4.3. |
| Title |
Boundary Damping on the Wall -- |
| Miscellaneous information |
4.3.1. |
| Title |
Model -- |
| Miscellaneous information |
4.3.2. |
| Title |
Formulation of the results -- |
| Miscellaneous information |
4.3.3. |
| Title |
Preliminary multipliers estimates -- |
| Miscellaneous information |
4.3.4. |
| Title |
Microanalysis estimate for the traces of solutions of Euler-Bernoulli equations and wave equations -- |
| Miscellaneous information |
4.3.5. |
| Title |
Observability estimates for the structural acoustic problem -- |
| Miscellaneous information |
4.3.6. |
| Title |
Completion of the proof of Theorem 4.3.1 -- |
| Miscellaneous information |
4.4. |
| Title |
Thermal Damping -- |
| Miscellaneous information |
4.4.1. |
| Title |
Model -- |
| Miscellaneous information |
4.4.2. |
| Title |
Statement of main results -- |
| Miscellaneous information |
4.4.3. |
| Title |
Sharp trace regularity results -- |
| Miscellaneous information |
4.4.4. |
| Title |
Uniform stabilization: Proof of Theorem 4.4.2 -- |
| Miscellaneous information |
4.4.5. |
| Title |
Wave equation -- |
| Miscellaneous information |
4.4.6. |
| Title |
Uniform stability analysis for the coupled system -- |
| Miscellaneous information |
4.5. |
| Title |
Comments and Open Problems -- |
| Miscellaneous information |
5. |
| Title |
Structural Acoustic Control Problems: Semigroup and PDE Models -- |
| Miscellaneous information |
5.1. |
| Title |
Orientation -- |
| Miscellaneous information |
5.2. |
| Title |
Abstract Setting: Semigroup Formulation -- |
| Miscellaneous information |
5.3. |
| Title |
PDE Models Illustrating the Abstract Wall Equation (5.2.2) -- |
| Miscellaneous information |
5.3.1. |
| Title |
Plates and beams: Flat[Gamma subscript 0] -- |
| Miscellaneous information |
5.3.2. |
| Title |
"Undamped" boundary conditions: g [identical with] 0 in (5.3.10) -- |
| Miscellaneous information |
5.3.3. |
| Title |
Boundary feedback: Case g [not equal] 0 in (5.3.10) and related stability -- |
| Miscellaneous information |
5.3.4. |
| Title |
Shells: Curved-wall [Gamma subscript 0] -- |
| Miscellaneous information |
5.4. |
| Title |
Stability in Linear Structural Acoustic Models -- |
| Miscellaneous information |
5.4.1. |
| Title |
Internal damping on the wall -- |
| Miscellaneous information |
5.4.2. |
| Title |
Boundary damping on the wall -- |
| Miscellaneous information |
5.5. |
| Title |
Comments and Open Problems -- |
| Miscellaneous information |
6. |
| Title |
Feedback Noise Control in Structural Acoustic Models: Finite Horizon Problems -- |
| Miscellaneous information |
6.1. |
| Title |
Orientation -- |
| Miscellaneous information |
6.2. |
| Title |
Optimal Control Problem -- |
| Miscellaneous information |
6.3. |
| Title |
Formulation of the Results -- |
| Miscellaneous information |
6.3.1. |
| Title |
Hyperbolic-parabolic coupling -- |
| Miscellaneous information |
6.3.2. |
| Title |
Hyperbolic-hyperbolic coupling: General case -- |
| Miscellaneous information |
6.3.3. |
| Title |
Hyperbolic-hyperbolic coupling: Special case of the Kirchhoff plate with point control -- |
| Miscellaneous information |
6.4. |
| Title |
Abstract Optimal Control Problem: General Theory -- |
| Miscellaneous information |
6.4.1. |
| Title |
Formulation of the abstract control problem -- |
| Miscellaneous information |
6.4.2. |
| Title |
Characterization of the optimal control -- |
| Miscellaneous information |
6.4.3. |
| Title |
Additional properties under the hyperbolic regularity assumption -- |
| Miscellaneous information |
6.4.4. |
| Title |
DRE, feedback generator, and regularity of the gains B*P, B*r -- |
| Miscellaneous information |
6.5. |
| Title |
Riccati Equations Subject to the Singular Estimate for e[superscript At]B -- |
| Miscellaneous information |
6.5.1. |
| Title |
Formulation of the results -- |
| Miscellaneous information |
6.5.2. |
| Title |
Proof of Lemma 6.5.1 -- |
| Miscellaneous information |
6.5.3. |
| Title |
Proof of Theorem 6.5.1 -- |
| Miscellaneous information |
6.6. |
| Title |
Back to Structural Acoustic Problems: Proofs of Theorems 6.3.1 and 6.3.2 -- |
| Miscellaneous information |
6.6.1. |
| Title |
Verification of Assumption (6.4.1) -- |
| Miscellaneous information |
6.6.2. |
| Title |
Verification of Assumption 6.5.1 -- |
| Miscellaneous information |
6.7. |
| Title |
Comments and Open Problems -- |
| Miscellaneous information |
7. |
| Title |
Feedback Noise Control in Structural Acoustic Models: Infinite Horizon Problems -- |
| Miscellaneous information |
7.1. |
| Title |
Orientation -- |
| Miscellaneous information |
7.2. |
| Title |
Optimal Control Problem -- |
| Miscellaneous information |
7.3. |
| Title |
Formulation of the Results -- |
| Miscellaneous information |
7.3.1. |
| Title |
Hyperbolic-parabolic coupling -- |
| Miscellaneous information |
7.3.2. |
| Title |
Hyperbolic-hyperbolic coupling: Abstract results -- |
| Miscellaneous information |
7.3.3. |
| Title |
Hyperbolic-hyperbolic coupling: Kirchhoff plate with point control -- |
| Miscellaneous information |
7.4. |
| Title |
Abstract Optimal Control Problem: General Theory -- |
| Miscellaneous information |
7.4.1. |
| Title |
Formulation of the abstract control problem -- |
| Miscellaneous information |
7.4.2. |
| Title |
ARE subject to condition (7.4.15) -- |
| Miscellaneous information |
7.5. |
| Title |
ARE Subject to a Singular Estimate for e[superscript At]B -- |
| Miscellaneous information |
7.5.1. |
| Title |
Formulation of the results -- |
| Miscellaneous information |
7.5.2. |
| Title |
Proof of Theorem 7.5.1 -- |
| Miscellaneous information |
7.6. |
| Title |
Back to Structural Acoustic Problems: Proofs of Theorems 7.3.1 and 7.3.2 -- |
| Miscellaneous information |
7.7. |
| Title |
Comments and Open Problems -- |
| -- |
Bibliography -- |
| -- |
Index. |
| 588 ## - SOURCE OF DESCRIPTION NOTE |
|---|
| Source of description note |
Machine converted from AACR2 source record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Control theory |
| 9 (RLIN) |
316031 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Differential equations, Hyperbolic |
| 9 (RLIN) |
337619 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Differential equations, Parabolic |
| 9 (RLIN) |
330417 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Coupled mode theory |
| 9 (RLIN) |
329420 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
CBMS-NSF regional conference series in applied mathematics ; |
| Volume/sequential designation |
75. |
| 9 (RLIN) |
1046760 |
| 907 ## - LOCAL DATA ELEMENT G, LDG (RLIN) |
|---|
| a |
.b10818297 |
| b |
11-07-17 |
| c |
27-10-15 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Book |
| 945 ## - LOCAL PROCESSING INFORMATION (OCLC) |
|---|
| a |
629.8312 LAS |
| g |
1 |
| i |
A418265B |
| j |
0 |
| l |
cmain |
| o |
- |
| p |
$90.05 |
| q |
- |
| r |
- |
| s |
- |
| t |
0 |
| u |
0 |
| v |
0 |
| w |
0 |
| x |
0 |
| y |
.i11986177 |
| z |
29-10-15 |
| 998 ## - LOCAL CONTROL INFORMATION (RLIN) |
|---|
| -- |
(2)b |
| -- |
(2)c |
| Operator's initials, OID (RLIN) |
06-04-16 |
| Cataloger's initials, CIN (RLIN) |
m |
| First date, FD (RLIN) |
a |
| -- |
eng |
| -- |
pau |
| -- |
0 |
