Partial differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2002
|
| Edition: | Reprint. with corr. |
| Series: | Graduate studies in mathematics
19 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 662 S. graph. Darst. |
| ISBN: | 0821807722 9780821807729 |
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MARC
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| 100 | 1 | |a Evans, Lawrence C. |d 1949- |e Verfasser |0 (DE-588)135567777 |4 aut | |
| 245 | 1 | 0 | |a Partial differential equations |c Lawrence C. Evans |
| 250 | |a Reprint. with corr. | ||
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2002 | |
| 300 | |a XVII, 662 S. |b graph. Darst. | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Graduate studies in mathematics |v 19 | |
| 650 | 7 | |a Equations aux dérivées partielles |2 ram | |
| 650 | 4 | |a Équations aux dérivées partielles | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1804129790020550656 |
|---|---|
| adam_text | CONTENTS
Preface
XV
1.
1.1.
1.2.
1.2.1.
1.2.2.
1.3.
1.3.1.
1.3.2.
1.3.3.
1.4.
1.5.
PART I: REPRESENTATION FORMULAS
FOR SOLUTIONS
2.
2.1.
2.1.1.
2.1.2.
2.2.
2.2.1.
2.2.2.
vii
vin
2.2.3.
2.2.4.
2.2.5.
2.3.
2.3.1.
2.3.2.
2.3.3.
2.3.4.
2.4.
2.4.1.
2.4.2.
2.4.3.
2.5.
2.6.
3.
3.1.
3.1.1.
3.1.2.
3.2.
3.2.1.
3.2.2.
3.2.3.
3.2.4.
3.2.5.
3.3.
3.3.1.
3.3.2.
3.3.3.
3.4.
3.4.1.
3.4.2.
3.4.3.
3.4.4.
3.4.5.
CONTENTS
їх
3.5. Problems...................................
3.6.
4.
4.1.
4.2.
4.2.1.
4.2.2.
4.3.
4.3.1.
4.3.2.
4.4.
4.4.1.
4.4.2.
4.4.3.
4.5.
4.5.1.
4.5.2.
4.5.3.
4.5.4.
4.6.
4.6.1.
4.6.2.
4.6.3.
4.7.
4.8.
PART II: THEORY FOR LINEAR PARTIAL
DIFFERENTIAL EQUATIONS
5.
5.1.
5.2.
5.2.1.
5.2.2.
5.2.3.
5.3.
x
5.3.1.
5.3.2.
5.3.3.
5.4.
5.5.
5.6.
5.6.1.
5.6.2.
5.6.3.
5.7.
5.8.
5.8.1.
5.8.2.
5.8.3.
5.8.4.
5.9.
5.9.1.
5.9.2.
5.10.
5.11.
6.
6.1.
6.1.1.
6.1.2.
6.2.
6.2.1.
6.2.2.
6.2.3.
6.3.
6.3.1.
6.3.2.
6.4.
6.4.1.
6.4.2.
CONTENTS __________________________________________xi
6.4.3.
6.5.
6.5.1.
6.5.2.
6.6.
6.7.
7.
7.1.
7.1.1.
7.1.2.
7.1.3.
7.1.4.
7.2.
7.2.1.
7.2.2.
7.2.3.
7.2.4.
7.2.5.
7.3.
7.3.1.
7.3.2.
7.3.3.
7.4.
7.4.1.
7.4.2.
7.4.3.
7.5.
7.6.
PART III: THEORY FOR NONLINEAR PARTIAL
DIFFERENTIAL EQUATIONS
8.
8.1.
8.1.1.
8.1.2.
xii_____________________________________________ CONTENTS
8.1.3.
8.1.4.
8.2.
8.2.1.
8.2.2.
8.2.3.
8.2.4.
8.3.
8.3.1.
8.3.2.
8.4.
8.4.1.
8.4.2.
8.4.3.
8.4.4.
8.5.
8.5.1.
8.5.2.
8.6.
8.7.
9.
9.1.
9.2.
9.2.1.
9.2.2.
9.3.
9.4.
9.4.1.
9.4.2.
9.5.
9.5.1.
9.5.2.
9.6.
9.6.1.
CONTENTS _____________________________________xiii
9.6.2. Subdifferentials
9.6.3. Applications............................ 534
9.7. Problems................................... 536
9.8.
10.
10.1.
10.1.1.
10.1.2.
10.2.
10.3.
10.3.1.
10.3.2.
10.3.3.
10.3.4.
10.4.
10.5.
11.
11.1.
11.1.1.
11.1.2.
11.2.
11.2.1.
11.2.2.
11.2.3.
11.2.4.
11.3.
11.3.1.
11.3.2.
11.4.
11.4.1.
11.4.2.
11.4.3.
11.5.
11.6.
xiv______________________________________________CONTENTS
APPENDICES
Appendix
A.l. Notation
Α.
A.3. Notation for functions
A.
A.5. Notation for estimates
A.6. Some comments about notation
Appendix B: Inequalities
B.I. Convex functions
B.2. Elementary inequalities
Appendix C: Calculus Facts
C.I. Boundaries
C.2. Gauss-Green Theorem
C.3. Polar coordinates,
C.4. Convolution and smoothing
C.5. Inverse Function Theorem
C.6. Implicit Function Theorem
C.7. Uniform convergence
Appendix D: Linear Functional Analysis
D.I.
D.2. Hubert spaces
D.3. Bounded linear operators
D.4. Weak convergence
D.5. Compact operators, Predholm theory
D.6. Symmetric operators
Appendix E: Measure Theory
E.I. Lebesgue measure
E.2. Measurable functions and integration
E.3. Convergence theorems for integrals
E.4. Differentiation
E.5. Banach space-valued functions
Bibliography
Index
|
| any_adam_object | 1 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Reprint. with corr. |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:10:44Z |
| institution | BVB |
| isbn | 0821807722 9780821807729 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010175879 |
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| physical | XVII, 662 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Graduate studies in mathematics |
| series2 | Graduate studies in mathematics |
| spelling | Evans, Lawrence C. 1949- Verfasser (DE-588)135567777 aut Partial differential equations Lawrence C. Evans Reprint. with corr. Providence, R.I. American Mathematical Society 2002 XVII, 662 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate studies in mathematics 19 Equations aux dérivées partielles ram Équations aux dérivées partielles Differential equations, Partial Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Graduate studies in mathematics 19 (DE-604)BV009739289 19 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010175879&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Evans, Lawrence C. 1949- Partial differential equations Graduate studies in mathematics Equations aux dérivées partielles ram Équations aux dérivées partielles Differential equations, Partial Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4044779-0 |
| title | Partial differential equations |
| title_auth | Partial differential equations |
| title_exact_search | Partial differential equations |
| title_full | Partial differential equations Lawrence C. Evans |
| title_fullStr | Partial differential equations Lawrence C. Evans |
| title_full_unstemmed | Partial differential equations Lawrence C. Evans |
| title_short | Partial differential equations |
| title_sort | partial differential equations |
| topic | Equations aux dérivées partielles ram Équations aux dérivées partielles Differential equations, Partial Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Equations aux dérivées partielles Équations aux dérivées partielles Differential equations, Partial Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010175879&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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