Fundamental solutions of linear partial differential operators: theory and practice
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2015
|
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XII, 398 S.) 5 illus |
| ISBN: | 9783319201405 |
| DOI: | 10.1007/978-3-319-20140-5 |
Staff View
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Record in the Search Index
| _version_ | 1804175020600066048 |
|---|---|
| adam_text | FUNDAMENTAL SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL OPERATORS
/ ORTNER, NORBERT
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
I. DISTRIBUTIONS AND FUNDAMENTAL SOLUTIONS
II. GENERAL PRINCIPLES FOR FUNDAMENTAL SOLUTIONS
III. PARAMETER INTEGRATION
IV. QUASIHYPERBOLIC SYSTEMS
V. FUNDAMENTAL MATRICES OF HOMOGENEOUS SYSTEMS
APPENDIX: TABLE OF OPERATORS/SYSTEMS WITH REFERENCES TO FUNDAMENTAL
SOLUTIONS/MATRICES
REFERENCES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
FUNDAMENTAL SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL OPERATORS
/ ORTNER, NORBERT
: 2015
ABSTRACT / INHALTSTEXT
THIS MONOGRAPH PROVIDES THE THEORETICAL FOUNDATIONS NEEDED FOR THE
CONSTRUCTION OF FUNDAMENTAL SOLUTIONS AND FUNDAMENTAL MATRICES OF
(SYSTEMS OF) LINEAR PARTIAL DIFFERENTIAL EQUATIONS. MANY ILLUSTRATIVE
EXAMPLES ALSO SHOW TECHNIQUES FOR FINDING SUCH SOLUTIONS IN TERMS OF
INTEGRALS. PARTICULAR ATTENTION IS GIVEN TO DEVELOPING THE FUNDAMENTALS
OF DISTRIBUTION THEORY, ACCOMPANIED BY CALCULATIONS OF FUNDAMENTAL
SOLUTIONS. THE MAIN PART OF THE BOOK DEALS WITH EXISTENCE THEOREMS AND
UNIQUENESS CRITERIA, THE METHOD OF PARAMETER INTEGRATION, THE
INVESTIGATION OF QUASIHYPERBOLIC SYSTEMS BY MEANS OF FOURIER AND LAPLACE
TRANSFORMS, AND THE REPRESENTATION OF FUNDAMENTAL SOLUTIONS OF
HOMOGENEOUS ELLIPTIC OPERATORS WITH THE HELP OF ABELIAN INTEGRALS. IN
ADDITION TO RIGOROUS DISTRIBUTIONAL DERIVATIONS AND VERIFICATIONS OF
FUNDAMENTAL SOLUTIONS, THE BOOK ALSO SHOWS HOW TO CONSTRUCT FUNDAMENTAL
SOLUTIONS (MATRICES) OF MANY PHYSICALLY RELEVANT OPERATORS (SYSTEMS), IN
ELASTICITY, THERMOELASTICITY, HEXAGONAL/CUBIC ELASTODYNAMICS, FOR
MAXWELL’S SYSTEM AND OTHERS. THE BOOK MAINLY ADDRESSES RESEARCHERS AND
LECTURERS WHO WORK WITH PARTIAL DIFFERENTIAL EQUATIONS. HOWEVER, IT ALSO
OFFERS A VALUABLE RESOURCE FOR STUDENTS WITH A SOLID BACKGROUND IN
VECTOR CALCULUS, COMPLEX ANALYSIS AND FUNCTIONAL ANALYSIS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Ortner, Norbert 1945- Wagner, Peter 1956- |
| author_GND | (DE-588)1038434491 (DE-588)1038435668 |
| author_facet | Ortner, Norbert 1945- Wagner, Peter 1956- |
| author_role | aut aut |
| author_sort | Ortner, Norbert 1945- |
| author_variant | n o no p w pw |
| building | Verbundindex |
| bvnumber | BV042788179 |
| classification_rvk | SK 540 SK 620 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)920891926 (DE-599)BVBBV042788179 |
| dewey-full | 515.353 |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-20140-5 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:09:39Z |
| institution | BVB |
| isbn | 9783319201405 |
| language | English |
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| publisher | Springer |
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| spelling | Ortner, Norbert 1945- Verfasser (DE-588)1038434491 aut Fundamental solutions of linear partial differential operators theory and practice Norbert Ortner ; Peter Wagner Cham [u.a.] Springer 2015 1 Online-Ressource (XII, 398 S.) 5 illus txt rdacontent c rdamedia cr rdacarrier Mathematics Functional analysis Integral Transforms Differential equations, partial Partial Differential Equations Integral Transforms, Operational Calculus Functional Analysis Mathematik Wagner, Peter 1956- Verfasser (DE-588)1038435668 aut Erscheint auch als Druckausgabe 978-3-319-20139-9 https://doi.org/10.1007/978-3-319-20140-5 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028218057&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028218057&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Ortner, Norbert 1945- Wagner, Peter 1956- Fundamental solutions of linear partial differential operators theory and practice Mathematics Functional analysis Integral Transforms Differential equations, partial Partial Differential Equations Integral Transforms, Operational Calculus Functional Analysis Mathematik |
| title | Fundamental solutions of linear partial differential operators theory and practice |
| title_auth | Fundamental solutions of linear partial differential operators theory and practice |
| title_exact_search | Fundamental solutions of linear partial differential operators theory and practice |
| title_full | Fundamental solutions of linear partial differential operators theory and practice Norbert Ortner ; Peter Wagner |
| title_fullStr | Fundamental solutions of linear partial differential operators theory and practice Norbert Ortner ; Peter Wagner |
| title_full_unstemmed | Fundamental solutions of linear partial differential operators theory and practice Norbert Ortner ; Peter Wagner |
| title_short | Fundamental solutions of linear partial differential operators |
| title_sort | fundamental solutions of linear partial differential operators theory and practice |
| title_sub | theory and practice |
| topic | Mathematics Functional analysis Integral Transforms Differential equations, partial Partial Differential Equations Integral Transforms, Operational Calculus Functional Analysis Mathematik |
| topic_facet | Mathematics Functional analysis Integral Transforms Differential equations, partial Partial Differential Equations Integral Transforms, Operational Calculus Functional Analysis Mathematik |
| url | https://doi.org/10.1007/978-3-319-20140-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028218057&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028218057&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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