Pseudodifferential operators and nonlinear PDE:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Birkhäuser
1991
|
| Edition: | 1. print. |
| Series: | Progress in mathematics
100 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 213 S. |
| ISBN: | 0817635955 3764335955 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804136121013108736 |
|---|---|
| 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.
|
| adam_txt |
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. |
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| id | DE-604.BV022147146 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:17:58Z |
| indexdate | 2024-07-09T20:51:21Z |
| institution | BVB |
| isbn | 0817635955 3764335955 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015361784 |
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| physical | 213 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spelling | Taylor, Michael E. Verfasser (DE-588)12876970X aut Pseudodifferential operators and nonlinear PDE Michael E. Taylor 1. print. Boston [u.a.] Birkhäuser 1991 213 S. txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 100 Equations différentielles non linéaires ram Opérateurs pseudodifférentiels ram Differential equations, Nonlinear Pseudodifferential operators Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 s Pseudodifferentialoperator (DE-588)4047640-6 s 1\p DE-604 Nichtlineare Differentialgleichung (DE-588)4205536-2 s 2\p DE-604 Progress in mathematics 100 (DE-604)BV000004120 Digitalisierung UB Regensburg application/pdf 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 Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| 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_exact_search_txtP | 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 |