Partial differential equations: an unhurried introduction
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2020]
|
| Series: | De Gruyter textbook
|
| Subjects: | |
| Online Access: | http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110677249&searchTitles=true Inhaltsverzeichnis Inhaltsverzeichnis |
| Item Description: | Literaturverzeichnis Seite 263 |
| Physical Description: | X, 266 Seiten Illustrationen 24 cm, 478 g |
| ISBN: | 9783110677249 3110677245 |
Staff View
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| 245 | 1 | 0 | |a Partial differential equations |b an unhurried introduction |c Vladimir A. Tolstykh |
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2020] | |
| 300 | |a X, 266 Seiten |b Illustrationen |c 24 cm, 478 g | ||
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
PREFACE
*
VII
1
1.1
1.2
1.3
1.4
DEFINITION
*
1
PARTIAL
DIFFERENTIAL
EQUATIONS
*
1
LINEAR
PDES
*
4
SEPARABLE
ODES:
A
BRIEF
REMAINDER
*
10
PDES
REDUCIBLE
TO
ODES
*
16
2
2.1
2.2
2.3
CHANGE
OF
VARIABLES
IN
PDES
*
29
CHANGE
OF
VARIABLES
IN
A
PDE:
*
DIRECT
*
APPROACH
*
29
INVERSE
FUNCTION
THEOREM
*
39
CHANGE
OF
VARIABLES
IN
A
PDE:
*
INDIRECT
*
APPROACH
*
41
3
FIRST-ORDER
LINEAR
EQUATIONS
*
49
4
4.1
4.2
FIRST-ORDER
SEMILINEAR
EQUATIONS
*
63
PEANO-PICKARD-LINDELOF
THEOREM
*
63
METHOD
OF
CHARACTERISTICS
FOR
SEMILINEAR
EQUATIONS
*
67
5
5.1
5.2
5.3
FIRST-ORDER
QUASILINEAR
EQUATIONS:
VECTOR
FIELDS
*
85
PEANO-PICKARD-LINDELOF
THEOREM
FOR
HIGHER
DIMENSIONS
*
86
VECTOR
FIELDS
AND
THEIR
CHARACTERISTIC
CURVES
*
89
FIRST
INTEGRALS
OF
VECTOR
FIELDS
*
100
6
6.1
6.2
6.3
6.4
FIRST-ORDER
QUASILINEAR
EQUATIONS:
SOLUTION
SETS
*
117
SOLUTIONS
DETERMINED
BY
FIRST
INTEGRALS
*
117
MAIN
THEOREM
ON
SOLUTION
SETS
*
124
CAUCHY
PROBLEM
FOR
A
PDE
*
129
FIRST
INTEGRALS:
UP
TO
THE
TASK
ONCE
AGAIN
*
130
7
7.1
7.2
METHOD
OF
CHARACTERISTICS
FOR
FIRST-ORDER
QUASILINEAR
EQUATIONS
*
157
SURFACES
MADE
UP
OF
CHARACTERISTIC
CURVES
*
157
MAIN
THEOREM
*
170
8
8.1
8.2
8.3
8.4
SECOND-ORDER
SEMILINEAR
EQUATIONS
*
205
THREE
MAIN
TYPES
*
205
HYPERBOLIC
EQUATIONS
*
214
PARABOLIC
EQUATIONS
*
223
ELLIPTIC
EQUATIONS
-----
231
X
*
CONTENTS
A
APPENDIX
-----
249
A.L
INVERSE
FUNCTION
THEOREM
*
249
A.2
FUNCTIONAL
DEPENDENCE
*
256
BIBLIOGRAPHY
*
263
INDEX
*
265
|
| adam_txt |
CONTENTS
PREFACE
*
VII
1
1.1
1.2
1.3
1.4
DEFINITION
*
1
PARTIAL
DIFFERENTIAL
EQUATIONS
*
1
LINEAR
PDES
*
4
SEPARABLE
ODES:
A
BRIEF
REMAINDER
*
10
PDES
REDUCIBLE
TO
ODES
*
16
2
2.1
2.2
2.3
CHANGE
OF
VARIABLES
IN
PDES
*
29
CHANGE
OF
VARIABLES
IN
A
PDE:
*
DIRECT
*
APPROACH
*
29
INVERSE
FUNCTION
THEOREM
*
39
CHANGE
OF
VARIABLES
IN
A
PDE:
*
INDIRECT
*
APPROACH
*
41
3
FIRST-ORDER
LINEAR
EQUATIONS
*
49
4
4.1
4.2
FIRST-ORDER
SEMILINEAR
EQUATIONS
*
63
PEANO-PICKARD-LINDELOF
THEOREM
*
63
METHOD
OF
CHARACTERISTICS
FOR
SEMILINEAR
EQUATIONS
*
67
5
5.1
5.2
5.3
FIRST-ORDER
QUASILINEAR
EQUATIONS:
VECTOR
FIELDS
*
85
PEANO-PICKARD-LINDELOF
THEOREM
FOR
HIGHER
DIMENSIONS
*
86
VECTOR
FIELDS
AND
THEIR
CHARACTERISTIC
CURVES
*
89
FIRST
INTEGRALS
OF
VECTOR
FIELDS
*
100
6
6.1
6.2
6.3
6.4
FIRST-ORDER
QUASILINEAR
EQUATIONS:
SOLUTION
SETS
*
117
SOLUTIONS
DETERMINED
BY
FIRST
INTEGRALS
*
117
MAIN
THEOREM
ON
SOLUTION
SETS
*
124
CAUCHY
PROBLEM
FOR
A
PDE
*
129
FIRST
INTEGRALS:
UP
TO
THE
TASK
ONCE
AGAIN
*
130
7
7.1
7.2
METHOD
OF
CHARACTERISTICS
FOR
FIRST-ORDER
QUASILINEAR
EQUATIONS
*
157
SURFACES
MADE
UP
OF
CHARACTERISTIC
CURVES
*
157
MAIN
THEOREM
*
170
8
8.1
8.2
8.3
8.4
SECOND-ORDER
SEMILINEAR
EQUATIONS
*
205
THREE
MAIN
TYPES
*
205
HYPERBOLIC
EQUATIONS
*
214
PARABOLIC
EQUATIONS
*
223
ELLIPTIC
EQUATIONS
-----
231
X
*
CONTENTS
A
APPENDIX
-----
249
A.L
INVERSE
FUNCTION
THEOREM
*
249
A.2
FUNCTIONAL
DEPENDENCE
*
256
BIBLIOGRAPHY
*
263
INDEX
*
265 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Tolstykh, Vladimir A. |
| author_GND | (DE-588)1212139798 |
| author_facet | Tolstykh, Vladimir A. |
| author_role | aut |
| author_sort | Tolstykh, Vladimir A. |
| author_variant | v a t va vat |
| building | Verbundindex |
| bvnumber | BV046805420 |
| classification_rvk | SK 540 |
| ctrlnum | (OCoLC)1182501468 (DE-599)DNB1203760027 |
| 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 |
| discipline_str_mv | Mathematik |
| format | Book |
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| indexdate | 2024-07-10T08:54:19Z |
| institution | BVB |
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| isbn | 9783110677249 3110677245 |
| language | English |
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| spelling | Tolstykh, Vladimir A. Verfasser (DE-588)1212139798 aut Partial differential equations an unhurried introduction Vladimir A. Tolstykh Berlin ; Boston De Gruyter [2020] X, 266 Seiten Illustrationen 24 cm, 478 g txt rdacontent n rdamedia nc rdacarrier De Gruyter textbook Literaturverzeichnis Seite 263 Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Lineare partielle Differentialgleichung Parabolische Differentialgleichung Partielle Differentialgleichung TB: Textbook Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe, PDF 978-3-11-067725-6 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-067733-1 X:MVB http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110677249&searchTitles=true B:DE-101 application/pdf https://d-nb.info/1203760027/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032214075&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tolstykh, Vladimir A. Partial differential equations an unhurried introduction Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4044779-0 |
| title | Partial differential equations an unhurried introduction |
| title_auth | Partial differential equations an unhurried introduction |
| title_exact_search | Partial differential equations an unhurried introduction |
| title_exact_search_txtP | Partial differential equations an unhurried introduction |
| title_full | Partial differential equations an unhurried introduction Vladimir A. Tolstykh |
| title_fullStr | Partial differential equations an unhurried introduction Vladimir A. Tolstykh |
| title_full_unstemmed | Partial differential equations an unhurried introduction Vladimir A. Tolstykh |
| title_short | Partial differential equations |
| title_sort | partial differential equations an unhurried introduction |
| title_sub | an unhurried introduction |
| topic | Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Partielle Differentialgleichung |
| url | http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110677249&searchTitles=true https://d-nb.info/1203760027/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032214075&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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