Direct and inverse methods in nonlinear evolution equations: lectures given at the CIME summer school, held in Cetraro, Italy, September 5 - 12, 1999
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| Format: | Book |
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| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York ; Hong Kong ; London ; Milan ; Pa
Springer
2003
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| Series: | Lecture notes in physics
632 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XI, 278 S. 24 cm |
| ISBN: | 3540200878 |
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MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV019365353 | ||
| 003 | DE-604 | ||
| 005 | 20031208 | ||
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| 016 | 7 | |a 968749232 |2 DE-101 | |
| 020 | |a 3540200878 |c Pp. : EUR 64.15, sfr 99.50 |9 3-540-20087-8 | ||
| 035 | |a (OCoLC)52902747 | ||
| 035 | |a (DE-599)BVBBV019365353 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
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| 084 | |a UD 8220 |0 (DE-625)145543: |2 rvk | ||
| 245 | 1 | 0 | |a Direct and inverse methods in nonlinear evolution equations |b lectures given at the CIME summer school, held in Cetraro, Italy, September 5 - 12, 1999 |c Robert Conte ... Ed.: Antonio M. Greco |
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; Hong Kong ; London ; Milan ; Pa |b Springer |c 2003 | |
| 300 | |a XI, 278 S. |b 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in physics |v 632 | |
| 500 | |a Literaturangaben | ||
| 650 | 4 | |a Problèmes inverses (Équations différentielles) - Solutions numériques - Congrès | |
| 650 | 4 | |a Équations d'évolution non linéaires - Solutions numériques - Congrès | |
| 650 | 7 | |a Équations différentielles - Solutions numériques - Congrès |2 ram | |
| 650 | 4 | |a Evolution equations, Nonlinear |x Numerical solutions |v Congresses | |
| 650 | 4 | |a Inverse problems (Differential equations) |x Numerical solutions |v Congresses | |
| 650 | 0 | 7 | |a Nichtlineare Evolutionsgleichung |0 (DE-588)4221363-0 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |y 1999 |z Cetraro |2 gnd-content | |
| 689 | 0 | 0 | |a Nichtlineare Evolutionsgleichung |0 (DE-588)4221363-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Conte, Robert |d 1943- |e Sonstige |0 (DE-588)121614638 |4 oth | |
| 700 | 1 | |a Greco, Antonio M. |e Sonstige |4 oth | |
| 830 | 0 | |a Lecture notes in physics |v 632 |w (DE-604)BV000003166 |9 632 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012828987&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-012828987 | |
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| _version_ | 1808044686190837760 |
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| adam_text |
CONTENTS
EXACT
SOLUTIONS
OF
NONLINEAR
PARTIAL
DIFFERENTIAL
EQUATIONS
BY
SINGULARITY
ANALYSIS
ROBERT
CONTE
.
1
1
INTRODUCTION
.
1
2
VARIOUS
LEVELS
OF
INTEGRABILITY
FOR
PDES,
DEFINITIONS
.
2
3
IMPORTANCE
OF
THE
SINGULARITIES:
A
BRIEF
SURVEY
OF
THE
THEORY
OF
PAINLEVE
.
9
4
THE
PAINLEVE
TEST
FOR
PDES
IN
ITS
INVARIANT
VERSION
.
11
4.1
SINGULAR
MANIFOLD
VARIABLE
IF
AND
EXPANSION
VARIABLE
%
.
11
4.2
THE
WTC
PART
OF
THE
PAINLEVE
TEST
FOR
PDES
.
14
4.3
THE
VARIOUS
WAYS
TO
PASS
OR
FAIL
THE
PAINLEVE
TEST
FOR
PDES
.
17
5
INGREDIENTS
OF
THE
"
SINGULAR
MANIFOLD
METHOD
"
.
18
5.1
THE
ODE
SITUATION
.
19
5.2
TRANSPOSITION
OF
THE
ODE
SITUATION
TO
PDES
.
19
5.3
THE
SINGULAR
MANIFOLD
METHOD
AS
A
SINGULAR
PART
TRANSFORMATION
.
20
5.4
THE
DEGENERATE
CASE
OF
LINEARIZABLE
EQUATIONS
.
21
5.5
CHOICES
OF
LAX
PAIRS
AND
EQUIVALENT
RICCATI
PSEUDOPOTENTIALS
.
21
SECOND-ORDER
LAX
PAIRS
AND
THEIR
PRIVILEGE
.
21
THIRD-ORDER
LAX
PAIRS
.
23
5.6
THE
ADMISSIBLE
RELATIONS
BETWEEN
R
AND
IP
.
24
6
THE
ALGORITHM
OF
THE
SINGULAR
MANIFOLD
METHOD
.
24
6.1
WHERE
TO
TRUNCATE,
AND
WITH
WHICH
VARIABLE?
.
27
7
THE
SINGULAR
MANIFOLD
METHOD
APPLIED
TO
ONE-FAMILY
PDES
.
29
7.1
INTEGRABLE
EQUATIONS
WITH
A
SECOND
ORDER
LAX
PAIR
.
29
THE
LIOUVILLE
EQUATION
.
30
THE
AKNS
EQUATION
.
32
THE
KDV
EQUATION
.
33
7.2
INTEGRABLE
EQUATIONS
WITH
A
THIRD
ORDER
LAX
PAIR
.
35
THE
BOUSSINESQ
EQUATION
.
35
THE
HIROTA-SATSUMA
EQUATION
.
37
THE
TZITZEICA
EQUATION
.
38
THE
SAWADA-KOTERA
AND
KAUP-KUPERSHMIDT
EQUATIONS
.
43
THE
SAWADA-KOTERA
EQUATION
.
44
VIII
CONTENTS
THE
KAUP-KUPERSHMIDT
EQUATION
.
45
7.3
NONINTEGRABLE
EQUATIONS,
SECOND
SCATTERING
ORDER
.
49
THE
KURAMOTO-SIVASHINSKY
EQUATION
.
49
7.4
NONINTEGRABLE
EQUATIONS,
THIRD
SCATTERING
ORDER
.
52
8
TWO
COMMON
ERRORS
IN
THE
ONE-FAMILY
TRUNCATION
.
53
8.1
THE
CONSTANT
LEVEL
TERM
DOES
NOT
DEFINE
A
BT
.
53
8.2
THE
WTC
TRUNCATION
IS
SUITABLE
IFF
THE
LAX
ORDER
IS
TWO
.
54
9
THE
SINGULAR
MANIFOLD
METHOD
APPLIED
TO
TWO-FAMILY
PDES
.
54
9.1
INTEGRABLE
EQUATIONS
WITH
A
SECOND
ORDER
LAX
PAIR
.
55
THE
SINE-GORDON
EQUATION
.
55
THE
MODIFIED
KORTEWEG-DE
VRIES
EQUATION
.
57
THE
NONLINEAR
SCHRODINGER
EQUATION
.
59
9.2
INTEGRABLE
EQUATIONS
WITH
A
THIRD
ORDER
LAX
PAIR
.
59
9.3
NONINTEGRABLE
EQUATIONS,
SECOND
AND
THIRD
SCATTERING
ORDER
.
60
THE
KPP
EQUATION
.
60
THE
CUBIC
COMPLEX
GINZBURG-LANDAU
EQUATION
.
65
THE
NONINTEGRABLE
KUNDU-ECKHAUS
EQUATION
.
68
10
SINGULAR
MANIFOLD
METHOD
VERSUS
REDUCTION
METHODS
.
69
11
TRUNCATION
OF
THE
UNKNOWN,
NOT
OF
THE
EQUATION
.
72
12
BIRATIONAL
TRANSFORMATIONS
OF
THE
PAINLEVE
EQUATIONS
.
74
13
CONCLUSION,
OPEN
PROBLEMS
.
76
REFERENCES
.
77
THE
METHOD
OF
POISSON
PAIRS
IN
THE
THEORY
OF
NONLINEAR
PDES
FRANCO
MAGRI,
GREGORIO
FALQUI,
MARCO
PEDRONI
.
85
1
INTRODUCTION:
THE
TENSORIAL
APPROACH
AND
THE
BIRTH
OF
THE
METHOD
OF
POISSON
PAIRS
.
85
1.1
THE
MIURA
MAP
AND
THE
KDV
EQUATION
.
86
1.2
POISSON
PAIRS
AND
THE
KDV
HIERARCHY
.
88
1.3
INVARIANT
SUBMANIFOLDS
AND
REDUCED
EQUATIONS
.
90
1.4
THE
MODIFIED
KDV
HIERARCHY
.
94
2
THE
METHOD
OF
POISSON
PAIRS
.
96
3
A
FIRST
CLASS
OF
EXAMPLES
AND
THE
REDUCTION
TECHNIQUE
.
101
3.1
LIE-POISSON
MANIFOLDS
.
101
3.2
POLYNOMIAL
EXTENSIONS
.
102
3.3
GEOMETRIC
REDUCTION
.
103
3.4
AN
EXPLICIT
EXAMPLE
.
104
3.5
A
MORE
GENERAL
EXAMPLE
.
108
4
THE
KDV
THEORY
REVISITED
.
109
4.1
POISSON
PAIRS
ON
A
LOOP
ALGEBRA
.
109
4.2
POISSON
REDUCTION
.
110
4.3
THE
GZ
HIERARCHY
.
112
4.4
THE
CENTRAL
SYSTEM
.
113
4.5
THE
LINEARIZATION
PROCESS
.
115
4.6
THE
RELATION
WITH
THE
SATO
APPROACH
.
117
CONTENTS
IX
5
LAX
REPRESENTATION
OF
THE
REDUCED
KDV
FLOWS
.
120
5.1
LAX
REPRESENTATION
.
120
5.2
FIRST
EXAMPLE
.
122
5.3
THE
GENERIC
STATIONARY
SUBMANIFOLD
.
124
5.4
WHAT
MORE?
.
125
6
DARBOUX-NIJENHUIS
COORDINATES
AND
SEPARABILITY
.
125
6.1
THE
POISSON
PAIR
.
126
6.2
PASSING
TO
A
SYMPLECTIC
LEAF
.
128
6.3
DARBOUX-NIJENHUIS
COORDINATES
.
130
6.4
SEPARATION
OF
VARIABLES
.
131
REFERENCES
.
134
NONLINEAR
SUPERPOSITION
FORMULAE
OF
INTEGRABLE
PARTIAL
DIFFERENTIAL
EQUATIONS
BY
THE
SINGULAR
MANIFOLD
METHOD
MICHELINE
MUSETTE
.
137
1
INTRODUCTION
.
137
2
INTEGRABILITY
BY
THE
SINGULARITY
APPROACH
.
138
3
BACKLUND
TRANSFORMATION:
DEFINITION
AND
EXAMPLE
.
139
4
SINGULARITY
ANALYSIS
OF
NONLINEAR
DIFFERENTIAL
EQUATIONS
.
139
4.1
NONLINEAR
ORDINARY
DIFFERENTIAL
EQUATIONS
.
139
4.2
NONLINEAR
PARTIAL
DIFFERENTIAL
EQUATIONS
.
142
5
LAX
PAIR
AND
DARBOUX
TRANSFORMATION
.
143
5.1
SECOND
ORDER
SCALAR
SCATTERING
PROBLEM
.
144
5.2
THIRD
ORDER
SCALAR
SCATTERING
PROBLEM
.
145
5.3
A
THIRD
ORDER
MATRIX
SCATTERING
PROBLEM
.
146
6
DIFFERENT
TRUNCATIONS
IN
PAINLEVE
ANALYSIS
.
147
7
METHOD
FOR
A
ONE-FAMILY
EQUATION
.
149
8
NONLINEAR
SUPERPOSITION
FORMULA
.
151
9
RESULTS
FOR
PDES
POSSESSING
A
SECOND
ORDER
LAX
PAIR
.
151
9.1
FIRST
EXAMPLE:
KDV
EQUATION
.
151
9.2
SECOND
EXAMPLE:
MKDV
AND
SINE-GORDON
EQUATIONS
.
153
10
PDES
POSSESSING
A
THIRD
ORDER
LAX
PAIR
.
156
10.1
SAWADA-KOTERA,
KDVS,
KAUP-KUPERSHMIDT
EQUATIONS
.
156
10.2
PAINLEVE
TEST
.
157
10.3
TRUNCATION
WITH
A
SECOND
ORDER
LAX
PAIR
.
158
10.4
TRUNCATION
WITH
A
THIRD
ORDER
LAX
PAIR
.
158
10.5
BACKLUND
TRANSFORMATION
.
159
10.6
NONLINEAR
SUPERPOSITION
FORMULA
FOR
SAWADA-KOTERA
.
160
10.7
NONLINEAR
SUPERPOSITION
FORMULA
FOR
KAUP-KUPERSHMIDT
.
161
10.8
TZITZEICA
EQUATION
.
165
REFERENCES
.
166
X
CONTENTS
HIROTA
BILINEAR
METHOD
FOR
NONLINEAR
EVOLUTION
EQUATIONS
JUNKICHI
SATSUMA
.
171
1
INTRODUCTION
.
171
2
SOLITON
SOLUTIONS
.
172
2.1
THE
BURGERS
EQUATION
.
172
2.2
THE
KORTEWEG-DE
VRIES
EQUATION
.
173
2.3
THE
NONLINEAR
SCHRODINGER
EQUATION
.
174
2.4
THE
TODA
EQUATION
.
175
2.5
PAINLEVE
EQUATIONS
.
176
2.6
DIFFERENCE
VS
DIFFERENTIAL
.
177
3
MULTIDIMENSIONAL
EQUATIONS
.
180
3.1
THE
KADOMTSEV-PETVIASHVILI
EQUATION
.
180
3.2
THE
TWO-DIMENSIONAL
TODA
LATTICE
EQUATION
.
181
3.3
TWO-DIMENSIONAL
TODA
MOLECULE
EQUATION
.
184
3.4
THE
HIROTA-MIWA
EQUATION
.
185
4
SATO
THEORY
.
187
4.1
MICRO-DIFFERENTIAL
OPERATORS
.
187
4.2
INTRODUCTION
OF
AN
INFINITE
NUMBER
OF
TIME
VARIABLES
.
189
4.3
THE
SATO
EQUATION
.
192
4.4
GENERALIZED
LAX
EQUATION
.
194
4.5
STRUCTURE
OF
TAU
FUNCTIONS
.
195
4.6
ALGEBRAIC
IDENTITIES
FOR
TAU
FUNCTIONS
.
200
4.7
VERTEX
OPERATORS
AND
THE
KP
BILINEAR
IDENTITY
.
204
4.8
FERMION
ANALYSIS
BASED
ON
AN
INFINITE
DIMENSIONAL
LIE
ALGEBRA
207
5
EXTENSIONS
OF
THE
BILINEAR
METHOD
.
210
5.1
Q-DISCRETE
EQUATIONS
.
210
5.2
SPECIAL
FUNCTION
SOLUTION
FOR
SOLITON
EQUATIONS
.
212
5.3
ULTRA
DISCRETE
SOLITON
SYSTEM
.
215
5.4
TRILINEAR
EQUATIONS
.
218
REFERENCES
.
221
LIE
GROUPS,
SINGULARITIES
AND
SOLUTIONS
OF
NONLINEAR
PARTIAL
DIFFERENTIAL
EQUATIONS
PAVEL
WINTERNITZ
.
223
1
INTRODUCTION
.
223
2
THE
SYMMETRY
GROUP
OF
A
SYSTEM
OF
DIFFERENTIAL
EQUATIONS
.
225
2.1
FORMULATION
OF
THE
PROBLEM
.
225
PROLONGATION
.
226
SYMMETRY
GROUP:
GLOBAL
APPROACH,
USE
THE
CHAIN
RULE
.
227
SYMMETRY
GROUP:
INFINITESIMAL
APPROACH
.
227
REFORMULATION
.
227
2.2
PROLONGATION
OF
VECTOR
FIELDS
AND
THE
SYMMETRY
ALGORITHM
.
228
2.3
FIRST
EXAMPLE:
VARIABLE
COEFFICIENT
KDV
EQUATION
.
230
2.4
SYMMETRY
REDUCTION
FOR
THE
KDV
.
232
2.5
SECOND
EXAMPLE:
MODIFIED
KADOMTSEV-PETVIASHVILI
EQUATION
.
235
CONTENTS
XI
3
CLASSIFICATION
OF
THE
SUBALGEBRAS
OF
A
FINITE
DIMENSIONAL
LIE
ALGEBRA
238
3.1
FORMULATION
OF
THE
PROBLEM
.
238
3.2
SUBALGEBRAS
OF
A
SIMPLE
LIE
ALGEBRA
.
239
3.3
EXAMPLE:
MAXIMAL
SUBALGEBRAS
OF
O(4,
2)
.
240
3.4
SUBALGEBRAS
OF
SEMIDIRECT
SUMS
.
244
3.5
EXAMPLE:
ALL
SUBALGEBRAS
OF
SL(3,LV)
CLASSIFIED
UNDER
THE
GROUP
SL(3,
TZ)
.
248
3.6
GENERALIZATIONS
.
252
4
THE
CLARKSON-KRUSKAL
DIRECT
REDUCTION
METHOD
AND
CONDITIONAL
SYMMETRIES
.
252
4.1
FORMULATION
OF
THE
PROBLEM
.
252
4.2
SYMMETRY
REDUCTION
FOR
BOUSSINESQ
EQUATION
.
253
4.3
THE
DIRECT
METHOD
.
254
4.4
CONDITIONAL
SYMMETRIES
.
256
4.5
GENERAL
COMMENTS
.
261
5
CONCLUDING
COMMENTS
.
263
5.1
REFERENCES
ON
NONLINEAR
SUPERPOSITION
FORMULAS
.
263
5.2
REFERENCES
ON
CONTINUOUS
SYMMETRIES
OF
DIFFERENCE
EQUATIONS
.
264
REFERENCES
.
264
LIST
OF
PARTICIPANTS
.
274
INDEX
.
277 |
| any_adam_object | 1 |
| author_GND | (DE-588)121614638 |
| building | Verbundindex |
| bvnumber | BV019365353 |
| callnumber-first | Q - Science |
| callnumber-label | QC20 |
| callnumber-raw | QC20.7.E88 |
| callnumber-search | QC20.7.E88 |
| callnumber-sort | QC 220.7 E88 |
| callnumber-subject | QC - Physics |
| classification_rvk | UD 8220 |
| ctrlnum | (OCoLC)52902747 (DE-599)BVBBV019365353 |
| dewey-full | 530.15/5353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15/5353 |
| dewey-search | 530.15/5353 |
| dewey-sort | 3530.15 45353 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| genre | (DE-588)1071861417 Konferenzschrift 1999 Cetraro gnd-content |
| genre_facet | Konferenzschrift 1999 Cetraro |
| id | DE-604.BV019365353 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-22T00:16:19Z |
| institution | BVB |
| isbn | 3540200878 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012828987 |
| oclc_num | 52902747 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-11 DE-384 |
| owner_facet | DE-91G DE-BY-TUM DE-11 DE-384 |
| physical | XI, 278 S. 24 cm |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spelling | Direct and inverse methods in nonlinear evolution equations lectures given at the CIME summer school, held in Cetraro, Italy, September 5 - 12, 1999 Robert Conte ... Ed.: Antonio M. Greco Berlin ; Heidelberg ; New York ; Hong Kong ; London ; Milan ; Pa Springer 2003 XI, 278 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 632 Literaturangaben Problèmes inverses (Équations différentielles) - Solutions numériques - Congrès Équations d'évolution non linéaires - Solutions numériques - Congrès Équations différentielles - Solutions numériques - Congrès ram Evolution equations, Nonlinear Numerical solutions Congresses Inverse problems (Differential equations) Numerical solutions Congresses Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1999 Cetraro gnd-content Nichtlineare Evolutionsgleichung (DE-588)4221363-0 s DE-604 Conte, Robert 1943- Sonstige (DE-588)121614638 oth Greco, Antonio M. Sonstige oth Lecture notes in physics 632 (DE-604)BV000003166 632 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012828987&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Direct and inverse methods in nonlinear evolution equations lectures given at the CIME summer school, held in Cetraro, Italy, September 5 - 12, 1999 Lecture notes in physics Problèmes inverses (Équations différentielles) - Solutions numériques - Congrès Équations d'évolution non linéaires - Solutions numériques - Congrès Équations différentielles - Solutions numériques - Congrès ram Evolution equations, Nonlinear Numerical solutions Congresses Inverse problems (Differential equations) Numerical solutions Congresses Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd |
| subject_GND | (DE-588)4221363-0 (DE-588)1071861417 |
| title | Direct and inverse methods in nonlinear evolution equations lectures given at the CIME summer school, held in Cetraro, Italy, September 5 - 12, 1999 |
| title_auth | Direct and inverse methods in nonlinear evolution equations lectures given at the CIME summer school, held in Cetraro, Italy, September 5 - 12, 1999 |
| title_exact_search | Direct and inverse methods in nonlinear evolution equations lectures given at the CIME summer school, held in Cetraro, Italy, September 5 - 12, 1999 |
| title_full | Direct and inverse methods in nonlinear evolution equations lectures given at the CIME summer school, held in Cetraro, Italy, September 5 - 12, 1999 Robert Conte ... Ed.: Antonio M. Greco |
| title_fullStr | Direct and inverse methods in nonlinear evolution equations lectures given at the CIME summer school, held in Cetraro, Italy, September 5 - 12, 1999 Robert Conte ... Ed.: Antonio M. Greco |
| title_full_unstemmed | Direct and inverse methods in nonlinear evolution equations lectures given at the CIME summer school, held in Cetraro, Italy, September 5 - 12, 1999 Robert Conte ... Ed.: Antonio M. Greco |
| title_short | Direct and inverse methods in nonlinear evolution equations |
| title_sort | direct and inverse methods in nonlinear evolution equations lectures given at the cime summer school held in cetraro italy september 5 12 1999 |
| title_sub | lectures given at the CIME summer school, held in Cetraro, Italy, September 5 - 12, 1999 |
| topic | Problèmes inverses (Équations différentielles) - Solutions numériques - Congrès Équations d'évolution non linéaires - Solutions numériques - Congrès Équations différentielles - Solutions numériques - Congrès ram Evolution equations, Nonlinear Numerical solutions Congresses Inverse problems (Differential equations) Numerical solutions Congresses Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd |
| topic_facet | Problèmes inverses (Équations différentielles) - Solutions numériques - Congrès Équations d'évolution non linéaires - Solutions numériques - Congrès Équations différentielles - Solutions numériques - Congrès Evolution equations, Nonlinear Numerical solutions Congresses Inverse problems (Differential equations) Numerical solutions Congresses Nichtlineare Evolutionsgleichung Konferenzschrift 1999 Cetraro |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012828987&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
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