Maximum principles in differential equations:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY [u.a.]
Springer
1984
|
| Edition: | Corr. repr. of the 2. print. |
| Subjects: | |
| Online Access: | Table of contents only Publisher description Inhaltsverzeichnis |
| Item Description: | Nachdr. der Ausg. Englewood Cliffs, NJ, Prentice-Hall, 1967 |
| Physical Description: | X, 261 S. graph. Darst. |
| ISBN: | 0387960686 3540960686 |
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Record in the Search Index
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| adam_text |
Titel: Maximum principles in differential equations
Autor: Protter, Murray H
Jahr: 1984
CONTENTS chapter 1. THE ONE-DIMENSIONAL MAXIMUM PRINCIPLE 1 1. The maximum principle, 1. 2. The generalized maximum principle, 8. 3. The initial value problem, 10. 4. Boundary value problems, 12. 5. Approximation in boundary value problems, 14. 6. Approximation in the initial value problem, 24. 7. The eigenvalue problem, 37. 8. Oscillation and comparison theorems, 42. 9. Nonlinear operators, 47. Bibliographical notes, 49. chapter 2. ELLIPTIC EQUATIONS 51 1. The Laplace operator, 51. 2. Second-order elliptic operators. Transformations, 56. 3. The maximum principle of E. Hopf, 61. 4. Uniqueness theorems for boundary value problems, 68. 5. The generalized maximum principle, 72. 6. Approximation in boundary value problems, 76. 7. Green’s identities and Green’s function, 81. 8. Eigenvalues, 89. 9. The Phragmén-Lindelof principle, 93. 10. The Harnack inequalities, 106. 11. Capacity, 122. 12. The Hadamard three-circles theorem, 128. 13. Derivatives of harmonic functions, 137. 14. Boundary estimates for the derivatives, 141. 15. Applications of bounds for derivatives, 145. 16. Nonlinear operators, 149. Bibliographical notes, 156. chapter 3. PARABOLIC EQUATIONS 159 1. The heat equation, 159. 2. The one-dimensional parabolic operator, 163. 3. The general parabolic operator, 173. 4. Uniqueness theorems for boundary value problems, 175. 5. A three-curves theorem, 178. 6. The Phragmén-Lindelof principle, 182. 7. Nonlinear operators, 186. 8. Weakly coupled parabolic systems, 188. Bibliographical notes, 193. chapter 4. HYPERBOLIC EQUATIONS 195 1. The wave equation, 195. 2. The wave operator with lower order terms, 197. 3. The two-dimensional hyperbolic operator, 200. IX
X Contents 4. Bounds and uniqueness in the initial value problem, 208. 5. Rie- mann’s function, 210. 6. Initial-boundary value problems, 213. 7. Estimates for series solutions, 215. 8. The two-characteristic problem, 218. 9. The Goursat problem, 231. 10. Comparison theorems, 232. 11. The wave equation in higher dimensions, 234. Bibliographical notes, 239. BIBLIOGRAPHY 240 INDEX 257 |
| any_adam_object | 1 |
| author | Protter, Murray H. 1918-2008 Weinberger, Hans F. |
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| callnumber-raw | QA377 .P76 1984 |
| callnumber-search | QA377 .P76 1984 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 540 |
| ctrlnum | (OCoLC)251844303 (DE-599)BVBBV007473448 |
| dewey-full | 515.3/5319 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-sort | 3515.3 253 219 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Corr. repr. of the 2. print. |
| format | Book |
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| id | DE-604.BV007473448 |
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| isbn | 0387960686 3540960686 |
| language | English |
| lccn | 84014028 |
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| physical | X, 261 S. graph. Darst. |
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| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Springer |
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| spelling | Protter, Murray H. 1918-2008 Verfasser (DE-588)1102930148 aut Maximum principles in differential equations Murray H. Protter ; Hans F. Weinberger Corr. repr. of the 2. print. New York, NY [u.a.] Springer 1984 X, 261 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nachdr. der Ausg. Englewood Cliffs, NJ, Prentice-Hall, 1967 Differential equations, Partial Maximum principles (Mathematics) Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Maximumprinzip (DE-588)4169165-9 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Maximumprinzip (DE-588)4169165-9 s DE-604 Weinberger, Hans F. Verfasser aut text/html http://catdir.loc.gov/catdir/enhancements/fy0814/84014028-t.html Table of contents only text/html http://www.loc.gov/catdir/enhancements/fy0814/84014028-d.html Publisher description HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004852015&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Protter, Murray H. 1918-2008 Weinberger, Hans F. Maximum principles in differential equations Differential equations, Partial Maximum principles (Mathematics) Partielle Differentialgleichung (DE-588)4044779-0 gnd Maximumprinzip (DE-588)4169165-9 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4169165-9 |
| title | Maximum principles in differential equations |
| title_auth | Maximum principles in differential equations |
| title_exact_search | Maximum principles in differential equations |
| title_full | Maximum principles in differential equations Murray H. Protter ; Hans F. Weinberger |
| title_fullStr | Maximum principles in differential equations Murray H. Protter ; Hans F. Weinberger |
| title_full_unstemmed | Maximum principles in differential equations Murray H. Protter ; Hans F. Weinberger |
| title_short | Maximum principles in differential equations |
| title_sort | maximum principles in differential equations |
| topic | Differential equations, Partial Maximum principles (Mathematics) Partielle Differentialgleichung (DE-588)4044779-0 gnd Maximumprinzip (DE-588)4169165-9 gnd |
| topic_facet | Differential equations, Partial Maximum principles (Mathematics) Partielle Differentialgleichung Maximumprinzip |
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