Principles of partial differential equations:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY
Springer
2009
|
| Schriftenreihe: | Problem books in mathematics
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018683933&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | X, 161 S. graph. Darst. |
| ISBN: | 9781441910950 |
Internformat
MARC
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| 100 | 1 | |a Komeč, Aleksandr I. |d 1946- |e Verfasser |0 (DE-588)120962063 |4 aut | |
| 245 | 1 | 0 | |a Principles of partial differential equations |c Alexander Komech ; Andrew Komech |
| 264 | 1 | |a New York, NY |b Springer |c 2009 | |
| 300 | |a X, 161 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Problem books in mathematics | |
| 650 | 4 | |a Differential equations, Partial | |
| 700 | 1 | |a Komech, Andrew |e Verfasser |0 (DE-588)139686134 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4419-1096-7 |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018683933&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-018683933 | |
Datensatz im Suchindex
| _version_ | 1819282928963682304 |
|---|---|
| adam_text | Contents
1
Hyperbolic equations. Method of characteristics
................... 1
1
Derivation of the d Alembert equation
......................... 1
2
The d Alembert method for infinite string
...................... 7
3
Analysis of the d Alembert formula
........................... 12
4
Second-order hyperbolic equations in the plane
................. 19
5
Semi-infinite string
......................................... 30
6
Finite string
............................................... 44
7
Wave equation with many independent variables
................ 46
8
General hyperbolic equations
................................. 56
2
The Fourier method
............................................ 65
9
Derivation of the heat equation
............................... 65
10
Mixed problem for the heat equation
.......................... 67
11
The Sturm
-
Liouville problem
............................... 68
12
Eigenfunction expansions
.................................... 74
13
The Fourier method for the heat equation
....................... 78
14
Mixed problem for the d Alembert equation
.................... 83
15
The Fourier method for nonhomogeneous equations
............. 86
16
The Fourier method for nonhomogeneous boundary conditions
---- 93
17
The Fourier method for the Laplace equation
................... 95
3
Distributions and Green s functions
..............................105
18
Motivation
................................................105
19
Distributions
..............................................109
20
Operations on distributions
..................................110
21
Differentiation of jumps and the product rule
...................115
22
Fundamental solutions of ordinary differential equations
..........118
23
Green s function on an interval
...............................121
24
Solvability condition for the boundary value problems
............125
25
The Sobolev functional spaces
................................128
26
Well-posedness of the wave equation in the Sobolev spaces
.......130
x
Contents
27 Solutions
to the wave equation in the sense of distributions
........131
4
Fundamental solutions and Green s functions in higher dimensions
.. 133
28
Fundamental solutions of the Laplace operator in
W
.............133
29
Potentials and their properties
................................137
30
Computing potentials via the Gauss theorem
....................143
31
Method of reflections
.......................................144
32
Green s functions in 2D via
conformai
mappings
................149
A Classification of the second-order equations
.......................155
References
.........................................................159
Index
.............................................................161
|
| any_adam_object | 1 |
| author | Komeč, Aleksandr I. 1946- Komech, Andrew |
| author_GND | (DE-588)120962063 (DE-588)139686134 |
| author_facet | Komeč, Aleksandr I. 1946- Komech, Andrew |
| author_role | aut aut |
| author_sort | Komeč, Aleksandr I. 1946- |
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| bvnumber | BV035825273 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 540 |
| ctrlnum | (OCoLC)638412976 (DE-599)HBZHT016066074 |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV035825273 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T14:01:03Z |
| institution | BVB |
| isbn | 9781441910950 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018683933 |
| oclc_num | 638412976 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-11 DE-83 DE-824 |
| owner_facet | DE-355 DE-BY-UBR DE-11 DE-83 DE-824 |
| physical | X, 161 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| series2 | Problem books in mathematics |
| spellingShingle | Komeč, Aleksandr I. 1946- Komech, Andrew Principles of partial differential equations Differential equations, Partial |
| title | Principles of partial differential equations |
| title_auth | Principles of partial differential equations |
| title_exact_search | Principles of partial differential equations |
| title_full | Principles of partial differential equations Alexander Komech ; Andrew Komech |
| title_fullStr | Principles of partial differential equations Alexander Komech ; Andrew Komech |
| title_full_unstemmed | Principles of partial differential equations Alexander Komech ; Andrew Komech |
| title_short | Principles of partial differential equations |
| title_sort | principles of partial differential equations |
| topic | Differential equations, Partial |
| topic_facet | Differential equations, Partial |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018683933&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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