Weak convergence methods for nonlinear partial differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathemat. Soc.
1996
|
| Edition: | 4. print. |
| Series: | Regional conference series in mathematics
74 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 82 S. |
| ISBN: | 0821807242 |
Staff View
MARC
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| 245 | 1 | 0 | |a Weak convergence methods for nonlinear partial differential equations |c Lawrence C. Evans |
| 250 | |a 4. print. | ||
| 264 | 1 | |a Providence, RI |b American Mathemat. Soc. |c 1996 | |
| 300 | |a VII, 82 S. | ||
| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface
ix
Introduction
І
1.
Weak Convergence
4
A. Review of Basic Theory
4
B. Convergence of Averages
6
С
Compactness in Sobolev Spaces
6
1.
Embeddings
6
2.
Compactness Theorems
7
3.
A Refinement of Rellich s Theorem
8
D. Measures of Concentration
9
1.
Generalities
9
2.
Defect Measures
10
3.
A Refinement of Fatou s Lemma
11
4.
Concentration and Sobolev Inequalities
12
E. Measures of Oscillation
14
1.
Generalities
14
2.
Slicing Measures
14
3.
Young Measures
16
2.
Convexity
18
A. The Calculus of Variations
18
B. Weak Lower Semicontinuity
19
С
Convergence of Energies and Strong Convergence
21
3.
Qimskonvexity
22
A. Definitions
22
1.
Rank-One Convexity
22
2.
Quasiconvexity
23
B. Weak Lower Semicontinuity
24
C. Convergence of Energies and Strong Convergence
27
D. Partial Regularity of Minimizers
29
E. Examples
31
1.
Weak Continuity of Determinants
31
vin
CONTENTS
2.
Polyconvexity
32
4.
Concentrated Compactness
34
A. Variational Problems
34
1.
Minimizers for Critical Sobolev Nonlinearities
34
2.
Strong Convergence of Minimizing Sequences
37
B. Concentration-Cancellation
39
1.
Critical Gradient Growth
39
2.
Vorticity Bounds and Euler s Equations
43
5.
Compensated Compactness
49
A. Direct Methods
49
1.
Harmonic Maps into Spheres
49
2.
Homogenization of Divergence Structure PDE s
50
3.
Monotonicity,
Minty-Browder Method in L2
52
B. Div-Curl Lemma
54
С
Elliptic Systems
55
D. Conservation Laws
58
1.
Single Equations
58
2.
Systems of Two Equations
60
E. Generalization of Div-Curl Lemma
64
6.
Maximum Principle Methods
66
A. The Maximum Principle for Fully Nonlinear PDE
66
1.
Minty-Browder Method in L°°
66
2.
Viscosity Solutions
70
B. Homogenization of Nondivergence Structure PDE s
70
С
Singular Perturbations
72
Appendix
75
Notes
76
References
78
|
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| author_facet | Evans, Lawrence C. 1949- |
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| bvnumber | BV013399502 |
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| indexdate | 2024-07-09T18:45:12Z |
| institution | BVB |
| isbn | 0821807242 |
| language | English |
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| physical | VII, 82 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | American Mathemat. Soc. |
| record_format | marc |
| series | Regional conference series in mathematics |
| series2 | Regional conference series in mathematics |
| spelling | Evans, Lawrence C. 1949- Verfasser (DE-588)135567777 aut Weak convergence methods for nonlinear partial differential equations Lawrence C. Evans 4. print. Providence, RI American Mathemat. Soc. 1996 VII, 82 S. txt rdacontent n rdamedia nc rdacarrier Regional conference series in mathematics 74 Schwache Konvergenz (DE-588)4180292-5 gnd rswk-swf Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift gnd-content Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 s Schwache Konvergenz (DE-588)4180292-5 s DE-604 Regional conference series in mathematics 74 (DE-604)BV000004346 74 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009142273&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Evans, Lawrence C. 1949- Weak convergence methods for nonlinear partial differential equations Regional conference series in mathematics Schwache Konvergenz (DE-588)4180292-5 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| subject_GND | (DE-588)4180292-5 (DE-588)4128900-6 (DE-588)1071861417 |
| title | Weak convergence methods for nonlinear partial differential equations |
| title_auth | Weak convergence methods for nonlinear partial differential equations |
| title_exact_search | Weak convergence methods for nonlinear partial differential equations |
| title_full | Weak convergence methods for nonlinear partial differential equations Lawrence C. Evans |
| title_fullStr | Weak convergence methods for nonlinear partial differential equations Lawrence C. Evans |
| title_full_unstemmed | Weak convergence methods for nonlinear partial differential equations Lawrence C. Evans |
| title_short | Weak convergence methods for nonlinear partial differential equations |
| title_sort | weak convergence methods for nonlinear partial differential equations |
| topic | Schwache Konvergenz (DE-588)4180292-5 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| topic_facet | Schwache Konvergenz Nichtlineare partielle Differentialgleichung Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009142273&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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