Optimal control of degenerate parabolic equations in image processing: analysis of evolution equations with variable degeneracy and associated minimization problems
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| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Berlin
Logos-Verl.
2008
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| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | VI, 221 S. Ill., graph. Darst. 24 cm |
| ISBN: | 9783832518332 |
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MARC
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| 245 | 1 | 0 | |a Optimal control of degenerate parabolic equations in image processing |b analysis of evolution equations with variable degeneracy and associated minimization problems |c von Kristian Bredies |
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Record in the Search Index
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| adam_text |
GESCANNT DURCH CONTENTS 1 INTRODUCTION 1 2 PROBLEM FORMULATION 7 2.1 A
CLASS OF DEGENERATE PARABOLIC EQUATIONS 9 2.2 THE OPTIMAL CONTROL
PROBLEM 12 2.3 RELATED WORK 14 2.3.1 IMAGE PROCESSING 14 2.3.2 OPTIMAL
CONTROL OF PDES 15 2.3.3 PARAMETER IDENTIFICATION 16 2.3.4 DEGENERATE
PARTIAL DIFFERENTIAL EQUATIONS 17 3 LINEAR DEGENERATE PARABOLIC
EQUATIONS 19 3.1 THE WEAK FORMULATIONS AND SOLUTION SPACES 20 3.1.1 THE
WEAK FORMULATIONS 20 3.1.2 ABSTRACT STATIONARY SOLUTION SPACES 23 3.1.3
ABSTRACT TIME-VARIANT SOLUTION SPACES 27 3.2 EXISTENCE AND UNIQUENESS 32
3.3 WEAK COMPACTNESS RESULTS 43 3.3.1 SPACES OF WEAKLY CONTINUOUS
FUNCTIONS 43 3.3.2 RELATIVE WEAK COMPACTNESS IN C*(0,T;L 2 (FT)) 47 4
WEIGHTED AND DIRECTIONAL SOBOLEV SPACES 53 4.1 THE SPACE H 1 ' 00 AS A
DUAL SPACE 54 4.1.1 SEQUENTIAL WEAK*-CONVERGENCE AND COMPACTNESS 58
4.1.2 SUPERPOSITION OPERATORS IN Y 60 4.2 WEAK WEIGHTED AND DIRECTIONAL
DERIVATIVES 64 4.2.1 THE WEAK WEIGHTED DERIVATIVE 65 4.2.2 THE WEAK
DIRECTIONAL DERIVATIVE 67 4.3 WEIGHTED AND DIRECTIONAL SOBOLEV SPACES 76
4.3.1 CLOSEDNESS OF THE WEAK WEIGHTED GRADIENT 77 BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/987598511 DIGITALISIERT DURCH |
| any_adam_object | 1 |
| author | Bredies, Kristian |
| author_GND | (DE-588)131737317 |
| author_facet | Bredies, Kristian |
| author_role | aut |
| author_sort | Bredies, Kristian |
| author_variant | k b kb |
| building | Verbundindex |
| bvnumber | BV035214884 |
| classification_rvk | ZN 6050 |
| ctrlnum | (OCoLC)254051298 (DE-599)DNB987598511 |
| dewey-full | 515.3534 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.3534 |
| dewey-search | 515.3534 |
| dewey-sort | 3515.3534 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Thesis Book |
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| id | DE-604.BV035214884 |
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| indexdate | 2024-07-20T09:58:28Z |
| institution | BVB |
| isbn | 9783832518332 |
| language | English |
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| physical | VI, 221 S. Ill., graph. Darst. 24 cm |
| publishDate | 2008 |
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| publisher | Logos-Verl. |
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| spelling | Bredies, Kristian Verfasser (DE-588)131737317 aut Optimal control of degenerate parabolic equations in image processing analysis of evolution equations with variable degeneracy and associated minimization problems von Kristian Bredies Berlin Logos-Verl. 2008 VI, 221 S. Ill., graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Zugl.: Bremen, Univ., Diss., 2007 Parabolisch entartete Differentialgleichung - Evolutionsgleichung - Optimale Kontrolle - Parameteridentifikation - Bildverarbeitung Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Evolutionsgleichung (DE-588)4129061-6 gnd rswk-swf Bildverarbeitung (DE-588)4006684-8 gnd rswk-swf Parameteridentifikation (DE-588)4210689-8 gnd rswk-swf Parabolisch entartete Differentialgleichung (DE-588)4173244-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Parabolisch entartete Differentialgleichung (DE-588)4173244-3 s Evolutionsgleichung (DE-588)4129061-6 s Optimale Kontrolle (DE-588)4121428-6 s Parameteridentifikation (DE-588)4210689-8 s Bildverarbeitung (DE-588)4006684-8 s DE-604 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3071675&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017021059&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bredies, Kristian Optimal control of degenerate parabolic equations in image processing analysis of evolution equations with variable degeneracy and associated minimization problems Parabolisch entartete Differentialgleichung - Evolutionsgleichung - Optimale Kontrolle - Parameteridentifikation - Bildverarbeitung Optimale Kontrolle (DE-588)4121428-6 gnd Evolutionsgleichung (DE-588)4129061-6 gnd Bildverarbeitung (DE-588)4006684-8 gnd Parameteridentifikation (DE-588)4210689-8 gnd Parabolisch entartete Differentialgleichung (DE-588)4173244-3 gnd |
| subject_GND | (DE-588)4121428-6 (DE-588)4129061-6 (DE-588)4006684-8 (DE-588)4210689-8 (DE-588)4173244-3 (DE-588)4113937-9 |
| title | Optimal control of degenerate parabolic equations in image processing analysis of evolution equations with variable degeneracy and associated minimization problems |
| title_auth | Optimal control of degenerate parabolic equations in image processing analysis of evolution equations with variable degeneracy and associated minimization problems |
| title_exact_search | Optimal control of degenerate parabolic equations in image processing analysis of evolution equations with variable degeneracy and associated minimization problems |
| title_full | Optimal control of degenerate parabolic equations in image processing analysis of evolution equations with variable degeneracy and associated minimization problems von Kristian Bredies |
| title_fullStr | Optimal control of degenerate parabolic equations in image processing analysis of evolution equations with variable degeneracy and associated minimization problems von Kristian Bredies |
| title_full_unstemmed | Optimal control of degenerate parabolic equations in image processing analysis of evolution equations with variable degeneracy and associated minimization problems von Kristian Bredies |
| title_short | Optimal control of degenerate parabolic equations in image processing |
| title_sort | optimal control of degenerate parabolic equations in image processing analysis of evolution equations with variable degeneracy and associated minimization problems |
| title_sub | analysis of evolution equations with variable degeneracy and associated minimization problems |
| topic | Parabolisch entartete Differentialgleichung - Evolutionsgleichung - Optimale Kontrolle - Parameteridentifikation - Bildverarbeitung Optimale Kontrolle (DE-588)4121428-6 gnd Evolutionsgleichung (DE-588)4129061-6 gnd Bildverarbeitung (DE-588)4006684-8 gnd Parameteridentifikation (DE-588)4210689-8 gnd Parabolisch entartete Differentialgleichung (DE-588)4173244-3 gnd |
| topic_facet | Parabolisch entartete Differentialgleichung - Evolutionsgleichung - Optimale Kontrolle - Parameteridentifikation - Bildverarbeitung Optimale Kontrolle Evolutionsgleichung Bildverarbeitung Parameteridentifikation Parabolisch entartete Differentialgleichung Hochschulschrift |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3071675&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017021059&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bredieskristian optimalcontrolofdegenerateparabolicequationsinimageprocessinganalysisofevolutionequationswithvariabledegeneracyandassociatedminimizationproblems |