Well-posedness of degenerate nonlinear Cauchy problems in Hilbert spaces:
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| Main Author: | |
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| Format: | Thesis Book |
| Language: | English |
| Published: |
2015
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 133 S. |
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Record in the Search Index
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| adam_text | CONTENTS
LIST OF SYMBOLS II
INTRODUCTION VII
1 MAXIMAL MONOTONE RELATIONS 1
1.1 GENERAL THEORY 1
1.2 SUM OF MAXIMAL MONOTONE RELATIONS 7
2 DISCRETIZED PROBLEMS 15
2.1 MILD SOLUTIONS 15
2.2 PROPERTIES OF MILD SOLUTIONS 20
3 EXISTENCE AND UNIQUENESS OF MILD SOLUTIONS 29
3.1 UNIFORM CONVERGENCE 29
3.1.1 THE HOMOGENEOUS CAUCHY PROBLEM 29
3.1.2 THE INHOMOGENEOUS CAUCHY PROBLEM 39
3.2 L
1
-CONVERGENCE 44
3.2.1 THE DIAGONAL MOLLIFIER 44
3.2.2 ESTIMATES OF E-SOLUTIONS 48
3.3 THE EXPONENTIAL FORMULA 63
4 REGULARITY OF MILD SOLUTIONS 67
4.1 FUNCTIONS OF BOUNDED VARIATION . . . . 67
4.2 BOUNDEDNESS AND LIPSCHITZ CONTINUITY 70
5 WELL-POSEDNESS OF DEGENERATE CAUCHY PROBLEMS 81
5.1 SOLUTION VERSUS MILD SOLUTION 81
5.2 THE LINEAR CAUCHY PROBLEM 95
6 APPLICATIONS 103
6.1 THE PARTIAL DIFFERENTIAL OPERATOR 103
6.2 A PARABOLIC-ELLIPTIC PROBLEM 106
6.3 A HYPERBOLIC-PARABOLIC PROBLEM 109
6.4 A DIRICHLET-TO-NEUMANN PROBLEM 118
CONCLUSION 123
A HILBERT SPACE VALUED FUNCTIONS 125
HTTP://D-NB.INFO/1074211294
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| any_adam_object | 1 |
| author | Wehowski, Maria 1987- |
| author_GND | (DE-588)1033380881 |
| author_facet | Wehowski, Maria 1987- |
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| author_sort | Wehowski, Maria 1987- |
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| ctrlnum | (OCoLC)922065071 (DE-599)BSZ442641184 |
| dewey-full | 515.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35 |
| dewey-search | 515.35 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| spelling | Wehowski, Maria 1987- Verfasser (DE-588)1033380881 aut Well-posedness of degenerate nonlinear Cauchy problems in Hilbert spaces von Maria Wehowski 2015 IX, 133 S. txt rdacontent n rdamedia nc rdacarrier Dresden, Techn. Univ., Diss., 2015 (DE-588)4113937-9 Hochschulschrift gnd-content DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028198805&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wehowski, Maria 1987- Well-posedness of degenerate nonlinear Cauchy problems in Hilbert spaces |
| subject_GND | (DE-588)4113937-9 |
| title | Well-posedness of degenerate nonlinear Cauchy problems in Hilbert spaces |
| title_auth | Well-posedness of degenerate nonlinear Cauchy problems in Hilbert spaces |
| title_exact_search | Well-posedness of degenerate nonlinear Cauchy problems in Hilbert spaces |
| title_full | Well-posedness of degenerate nonlinear Cauchy problems in Hilbert spaces von Maria Wehowski |
| title_fullStr | Well-posedness of degenerate nonlinear Cauchy problems in Hilbert spaces von Maria Wehowski |
| title_full_unstemmed | Well-posedness of degenerate nonlinear Cauchy problems in Hilbert spaces von Maria Wehowski |
| title_short | Well-posedness of degenerate nonlinear Cauchy problems in Hilbert spaces |
| title_sort | well posedness of degenerate nonlinear cauchy problems in hilbert spaces |
| topic_facet | Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028198805&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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