Pseudodifferential operators and nonlinear PDE:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
1991
|
| Ausgabe: | 1. print. |
| Schriftenreihe: | Progress in mathematics
100 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015361784&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | 213 S. |
| ISBN: | 0817635955 3764335955 |
Internformat
MARC
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| 245 | 1 | 0 | |a Pseudodifferential operators and nonlinear PDE |c Michael E. Taylor |
| 250 | |a 1. print. | ||
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 1991 | |
| 300 | |a 213 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in mathematics |v 100 | |
| 650 | 7 | |a Equations différentielles non linéaires |2 ram | |
| 650 | 7 | |a Opérateurs pseudodifférentiels |2 ram | |
| 650 | 4 | |a Differential equations, Nonlinear | |
| 650 | 4 | |a Pseudodifferential operators | |
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Datensatz im Suchindex
| _version_ | 1819265180334292992 |
|---|---|
| adam_text | CONTENTS
Introduction.
0. Pseudodifferential
operators
and linear PDE.
§0.1
The Fourier integral representation and symbol classes
§0.2
Schwartz kernels of pseudodifferential operators
§0.3
Adjoints
and products
§0.4
Elliptic operators and parametrices
§0.5
I? estimates
§0.6
Garding s inequality
§0.7
The sharp
Gårding
inequality
§0.8
Hyperbolic evolution equations
§0.9
Egorov s theorem
§0.10
Microlocal
regularity
§0.11
L» estimates
§0.12
Operators on manifolds
1.
Symbols with limited smoothness.
§1.1
Symbol classes
§1.2
Some simple elliptic regularity theorems
§1.3
Symbol smoothing
2.
Operator estimates and elliptic regularity.
§2.1
Bounds for operators with nonregular symbols
§2.2
Further elliptic regularity theorems
§2.3
Adjoints
§2.4
Sharp
Gårding
inequality
3.
Paradifferential
operators.
§3.1
Composition and paraproducts
§3.2
Various forms of
paraproduct
§3.3
Nonlinear PDE and
paradifferential
operators
§3.4
Operator algebra
§3.5
Product estimates
§3.6
Commutator estimates
4.
Calculus for OP&S^.
§4.1
Commutator estimates
§4.2
Operator algebra
§4.3
Gårding
inequality
§4.4
C1-paradifferential
calculus
5.
Nonlinear hyperbolic systems.
§5.1 Quasilinear
symmetric hyperbolic systems
§5.2
Symmetrizable hyperbolic systems
CONTENTS
§5.3 Higher
order hyperbolic equations
§5.4
Completely nonlinear hyperbolic systems
6.
Propagation of singularities.
§6.1
Propagation of singularities
§6.2
Nonlinear formation of singularities
§6.3
Egorov s theorem
7.
Nonlinear parabolic systems.
§7.1
Strongly parabolic
quasilinear
systems
§7.2
Petrowski parabolic
quasilinear
systems
§7.3
Sharper estimates
§7.4 Semilinear
parabolic systems
8.
Nonlinear elliptic boundary problems.
§8.1
Second order elliptic equations
§8.2 Quasilinear
elliptic equations
§8.3
Interface with DeGiorgi-Nash-Moser theory
9.
Extension of the
Schauder
estimates.
§9.1
Nirenberg s refinement
§9.2
Elliptic boundary problems
A. Function spaces.
§A.l Holder spaces, Zygmund spaces, and Sobolev spaces
§A,2 Morrey spaces
§A.3 BMO
B. Sup norm estimates.
§B.l L°° estimates on pseudodifferential operators
§B.2 The spaces C^
C. DeGiorgi-Nash-Moser estimates.
§C.l
Moser
iteration and L°° estimates
§C2 Holder continuity
§C3 Inhomogeneous equations
§C4 Boundary regularity
D.
Paraproduct
estimates.
Index of notation.
References.
Research supported by NSF grant DMS
8801457.
|
| any_adam_object | 1 |
| author | Taylor, Michael E. |
| author_GND | (DE-588)12876970X |
| author_facet | Taylor, Michael E. |
| author_role | aut |
| author_sort | Taylor, Michael E. |
| author_variant | m e t me met |
| building | Verbundindex |
| bvnumber | BV022147146 |
| callnumber-first | Q - Science |
| callnumber-label | QA329 |
| callnumber-raw | QA329.7 |
| callnumber-search | QA329.7 |
| callnumber-sort | QA 3329.7 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)23768792 (DE-599)BVBBV022147146 |
| dewey-full | 515/.7242 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7242 |
| dewey-search | 515/.7242 |
| dewey-sort | 3515 47242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. print. |
| format | Book |
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| id | DE-604.BV022147146 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T12:48:59Z |
| institution | BVB |
| isbn | 0817635955 3764335955 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015361784 |
| oclc_num | 23768792 |
| open_access_boolean | |
| owner | DE-706 DE-355 DE-BY-UBR |
| owner_facet | DE-706 DE-355 DE-BY-UBR |
| physical | 213 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spellingShingle | Taylor, Michael E. Pseudodifferential operators and nonlinear PDE Progress in mathematics Equations différentielles non linéaires ram Opérateurs pseudodifférentiels ram Differential equations, Nonlinear Pseudodifferential operators Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4128900-6 (DE-588)4047640-6 (DE-588)4205536-2 (DE-588)4044779-0 |
| title | Pseudodifferential operators and nonlinear PDE |
| title_auth | Pseudodifferential operators and nonlinear PDE |
| title_exact_search | Pseudodifferential operators and nonlinear PDE |
| title_full | Pseudodifferential operators and nonlinear PDE Michael E. Taylor |
| title_fullStr | Pseudodifferential operators and nonlinear PDE Michael E. Taylor |
| title_full_unstemmed | Pseudodifferential operators and nonlinear PDE Michael E. Taylor |
| title_short | Pseudodifferential operators and nonlinear PDE |
| title_sort | pseudodifferential operators and nonlinear pde |
| topic | Equations différentielles non linéaires ram Opérateurs pseudodifférentiels ram Differential equations, Nonlinear Pseudodifferential operators Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Equations différentielles non linéaires Opérateurs pseudodifférentiels Differential equations, Nonlinear Pseudodifferential operators Nichtlineare partielle Differentialgleichung Pseudodifferentialoperator Nichtlineare Differentialgleichung Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015361784&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004120 |
| work_keys_str_mv | AT taylormichaele pseudodifferentialoperatorsandnonlinearpde |