Abstract parabolic evolution equations and their applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2010
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| Series: | Springer monographs in mathematics
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVIII, 581 S. graph. Darst. 235 mm x 155 mm |
| ISBN: | 9783642046308 9783642046315 |
Staff View
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| 100 | 1 | |a Yagi, Atsushi |d 1951- |e Verfasser |0 (DE-588)14027247X |4 aut | |
| 245 | 1 | 0 | |a Abstract parabolic evolution equations and their applications |c Atsushi Yagi |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2010 | |
| 300 | |a XVIII, 581 S. |b graph. Darst. |c 235 mm x 155 mm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Springer monographs in mathematics | |
| 650 | 4 | |a Differential equations, Parabolic | |
| 650 | 4 | |a Evolution equations | |
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Record in the Search Index
| _version_ | 1804140885354479616 |
|---|---|
| adam_text | CONTENTS 1 PRELIMINARIES 1 1 BANACH SPACES 1 1.1 DISTANCE OF SUBSETS 1
1.2 FRACTAL DIMENSION 2 2 FUNCTION SPACES WITH VALUES IN A BANACH SPACE
3 2.1 UNIFORMLY BOUNDED FUNCTION SPACES 4 2.2 CONTINUOUSLY
DIFFERENTIABLE FUNCTION SPACES 4 2.3 HOLDER CONTINUOUS FUNCTION SPACES 5
2.4 WEIGHTED HOLDER CONTINUOUS FUNCTION SPACES 5 2.5 SPACE OF ANALYTIC
FUNCTIONS 7 3 LINEAR OPERATORS 7 3.1 BOUNDED LINEAR OPERATORS 7 3.2 PART
OF LINEAR OPERATOR 8 3.3 MULTIVALUED LINEAR OPERATORS 9 3.4 RESOLVENT
EQUATION AND PSEUDO-RESOLVENT 9 3.5 SPECTRA OF OPERATORS 10 4 NONLINEAR
OPERATORS 12 4.1 CONTRACTION MAPPINGS 12 4.2 FRECHET DIFFERENTIATION 13
5 INTERPOLATION OF BANACH SPACES 14 5.1 INTERPOLATION SPACES 14 5.2
INTERPOLATION THEOREM 15 6 ADJOINT SPACES AND OPERATORS 16 6.1 DUAL
SPACES 16 6.2 ADJOINT SPACES 17 6.3 ADJOINT OPERATORS 20 7 EXTRAPOLATION
OF HUBERT SPACES 22 7.1 TRIPLETS OF SPACES 22 7.2 EXTRAPOLATION THEOREM
24 8 LINEAR OPERATORS ASSOCIATED WITH SESQUILINEAR FORMS 25 8.1
SESQUILINEAR FORMS AND ASSOCIATED OPERATORS 25 8.2 ADJOINT FORMS AND
ADJOINT OPERATORS 26 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/997432667 DIGITALISIERT DURCH CONTENTS 9 INTEGRAL
EQUATIONS AND INEQUALITIES OF VOLTERRA TYPE 27 9.1 GENERALIZED
INEQUALITY OF GRONWALL TYPE 27 9.2 INTEGRAL INEQUALITY OF VOLTERRA TYPE
29 9.3 INTEGRAL EQUATIONS OF VOLTERRA TYPE 31 9.4 DOMINATE CONVERGENCE
THEOREM FOR INTEGRAL EQUATIONS . . 34 10 DIFFERENTIAL INEQUALITIES 35 11
SOBOLEV-LEBESGUE SPACES 38 11.1 BOUNDARIES OF DOMAINS 39 ! 1.2 SOBOLEV
SPACES OF INTEGRAL ORDER 40 11.3 SOBOLEV-LEBESGUE SPACES IN R 41 11.4
SOBOLEV-LEBESGUE SPACES IN R J. OR BOUNDED DOMAINS . . 42 1.5
INTERPOLATION PROPERTY 43 1.6 EMBEDDING THEOREMS 44 11.7 TRACES 45 11.8
SPACES ***) AND H~ S (S2) 46 11.9 PRODUCT SPACES 48 11.10 MISCELLANEOUS
RESULTS 48 NOTES AND FURTHER RESEARCHES 53 2 SECTORIAL OPERATORS 55 1
SECTORIAL OPERATORS IN HUBERT SPACES 56 1.1 SECTORIAL OPERATORS
ASSOCIATED WITH SESQUILINEAR FORM . . 56 1.2 SECTORIAL OPERATORS IN HI
SPACES 58 1.3 SHIFT PROPERTY IN L 2 62 1.4 SECTORIAL OPERATORS IN
PRODUCT SPACES OF 2 66 2 SECTORIAL OPERATORS IN BANACH SPACES 71 2.1
SECTORIAL OPERATORS IN L, (1 P OO) SPACE CONTENTS VII 7.4 MOMENT
INEQUALITY 97 7.5 COMPARISON OF DOMAINS OF FRACTIONAL POWERS 98 7.6
FRACTIONAL POWERS OF ADJOINT OPERATORS 101 7.7 FRACTIONAL POWERS AND
ANALYTIC SEMIGROUPS 101 7.8 GENERATION THEOREM OF CONTINUOUS SEMIGROUPS
104 8 PURELY IMAGINARY POWERS AND SQUARE ROOT PROBLEM 105 8.1 BOUNDED
PURELY IMAGINARY POWERS 105 8.2 IMAGINARY POWERS FOR MAXIMAL ACCRETIVE
OPERATORS .... 106 8.3 HEINZ AND KATO INEQUALITY 109 8.4 SQUARE ROOT
PROBLEM 110 8.5 SYMMETRIC FORMS AND SQUARE ROOT PROBLEM 112 NOTES AND
FURTHER RESEARCHES 114 3 LINEAR EVOLUTION EQUATIONS 117 PART I.
AUTONOMOUS EQUATIONS 118 1 ANALYTIC SEMIGROUPS 118 1.1 GENERATION OF
ANALYTIC SEMIGROUPS 118 1.2 GENERATOR OF ANALYTIC SEMIGROUP 119 1.3
PERTURBATION FOR GENERATORS OF ANALYTIC SEMIGROUPS .... 123 2 CAUCHY
PROBLEMS 124 2.1 CONSTRUCTION OF SOLUTIONS 124 2.2 MAXIMAL REGULARITY
126 2.3 HIGHER-ORDER MAXIMAL REGULARITY 129 2.4 SPATIAL REGULARITY 130 3
AUTONOMOUS PARABOLIC EQUATIONS 131 3.1 PROBLEMS IN HUBERT SPACES 131 3.2
PROBLEMS IN L P SPACES 133 PART II. NONAUTONOMOUS EQUATIONS 134 4
NONAUTONOMOUS ABSTRACT EVOLUTION EQUATIONS 134 4.1 STRUCTURAL
ASSUMPTIONS 134 4.2 SOME CONSEQUENCES FROM (3.30) 135 4.3 STRUCTURAL
ASSUMPTIONS AND YOSIDA APPROXIMATION 137 5 EVOLUTION OPERATORS 139 5.
CONTENTS 10 NONAUTONOMOUS PARABOLIC EQUATIONS 164 10.1 PROBLEMS IN
HUBERT SPACES 164 10.2 PROBLEMS IN L P SPACES 166 10.3 SOME EXAMPLE OF
THE CRITICAL CASE V=0 167 11 PERTURBED PROBLEMS 168 11.1 EVOLUTION
OPERATOR 168 11.2 CAUCHY PROBLEM 172 NOTES AND FURTHER RESEARCHES 174
SEMILINEAR EVOLUTION EQUATIONS 177 1 SEMILINEAR ABSTRACT EVOLUTION
EQUATIONS 177 1.1 CAUCHY PROBLEMS 177 1.2 PROOF OF THEOREM 4.1 178 1.3
REGULARITY FOR MORE REGULAR INITIAL DATA 183 1.4 GLOBAL EXISTENCE 185
1.5 LIPSCHITZ CONTINUITY OF SOLUTIONS IN INITIAL DATA 186 1.6 CASE/3=0
187 2 VARIATIONAL METHODS 189 3 SEMILINEAR PARABOLIC EQUATIONS 190 4
COMPETITION SYSTEM WITH DIFFUSIONS 191 4.1 CONSTRUCTION OF LOCAL
SOLUTIONS 192 4.2 NONNEGATIVITY OF LOCAL SOLUTIONS 193 4.3 GLOBAL
SOLUTIONS 193 5 SOME MODEL IN IMMUNOLOGY 194 5.1 CONSTRUCTION OF LOCAL
SOLUTIONS 195 5.2 NONNEGATIVITY OF LOCAL SOLUTIONS 196 5.3 GLOBAL
SOLUTIONS 197 6 NONAUTONOMOUS SEMILINEAR ABSTRACT EVOLUTION EQUATIONS
199 NOTES AND FURTHER RESEARCHES 200 QUASILINEAR EVOLUTION EQUATIONS 201
1 QUASILINEAR ABSTRACT EVOLUTION EQUATIONS 202 1.1 STRUCTURAL
ASSUMPTIONS 202 1.2 PROOF OF THEOREM 5.1 204 1.3 STRONGER RESULTS FOR
MORE REGULAR DATA 211 1. CONTENTS IX 7 SOME MODEL FOR HONEYBEE COLONIES
235 7.1 ABSTRACT FORMULATION 236 7.2 CONSTRUCTION OF LOCAL SOLUTIONS 238
7.3 NONNEGATIVITY OF LOCAL SOLUTIONS 239 7.4 A PRIORI ESTIMATES 239 7.5
GLOBAL SOLUTIONS 242 8 SOME CHEMOTAXIS MODEL 243 8.1 ABSTRACT
FORMULATION 243 8.2 BASIC PROPERTIES OF OPERATORS A(U) 244 8.3
CONSTRUCTION OF LOCAL SOLUTIONS 245 8.4 NONNEGATIVITY OF LOCAL SOLUTIONS
246 8.5 GLOBAL SOLUTIONS 247 9 NONAUTONOMOUS QUASILINEAR ABSTRACT
EVOLUTION EQUATIONS . . . . 247 NOTES AND FURTHER RESEARCHES 249 6
DYNAMICAL SYSTEMS 251 1 BASICS OF DYNAMICAL SYSTEMS 253 1.1 EQUILIBRIA
AND ATTRACTORS 253 1.2 -LIMIT SETS AND GLOBAL ATTRACTOR 256 1.3 STABLE
AND UNSTABLE MANIFOLDS 258 1.4 EXPONENTIAL ATTRACTION 261 2
REPRESENTATION THEOREM OF STABLE AND UNSTABLE MANIFOLDS . . . . 263 2.1
DISCRETE CASE 263 2.2 CONTINUOUS CASE 267 3 EXPONENTIALLY STABLE
EQUILIBRIA 268 4 EXPONENTIAL ATTRACTORS 269 4.1 CONTRACTION SEMIGROUPS
269 4.2 COMPACT PERTURBATION OF CONTRACTION OPERATOR, I 270 4.3 COMPACT
PERTURBATION OF CONTRACTION OPERATOR. II 274 4.4 SQUEEZING PROPERTY 277
4.5 CONTINUOUS DYNAMICAL SYSTEM 278 4.6 CONTINUOUS DEPENDENCE ON
PARAMETER 280 5 DYNAMICAL SYSTEMS FOR SEMILINEAR EVOLUTION EQUATIONS 281
5. X CONTENTS 7.3 ABSORBING AND INVARIANT COMPACT SET 303 7.4
EXPONENTIAL ATTRACTORS 304 8 STATIONARY SOLUTIONS TO QUASILINEAR
EQUATIONS 304 8.1 EQUILIBRIA OF DYNAMICAL SYSTEM 304 8.2 EXPONENTIAL
STABILITY OF V 305 8.3 UNSTABLE MANIFOLD OF 7 308 8.4 PROOF OF
PROPOSITION 6.10 313 NOTES AND FURTHER RESEARCHES 314 7 NUMERICAL
ANALYSIS 317 1 SEMILINEAR EVOLUTION EQUATIONS 317 1.1 APPROXIMATE
PROBLEMS 318 1.2 LOCAL ESTIMATES OF CONVERGENCE 319 2 QUASILINEAR
EVOLUTION EQUATIONS 321 2.1 APPROXIMATE PROBLEMS 322 2.2 LOCAL ESTIMATES
OF CONVERGENCE 324 2.3 PROOF OF LEMMA 7.1 327 3 TWO-DIMENSIONAL FINITE
ELEMENT METHODS 329 3.1 APPROXIMATE OPERATORS A$ 329 3.2 SOME PROPERTIES
OF C S (I2) AND * ? 330 3.3 PROJECTION OPERATOR P$ 334 3.4 RITZ OPERATOR
* 335 3.5 DOMAINS OF FRACTIONAL POWERS OF AC 336 4 CONVERGENCE OF
EXPONENTIAL ATTRACTORS 337 4.1 DISCRETE CASE 337 4.2 CONTINUOUS CASE 341
NOTES AND FURTHER RESEARCHES 343 8 SEMICONDUCTOR MODELS 345 1 PROTOTYPE
SEMICONDUCTOR EQUATIONS 345 1.1 MODEL EQUATIONS 345 1. CONTENTS XI 9
ACTIVATOR-INHIBITOR MODELS 357 1 PROTOTYPE REACTION-DIFFUSION MODEL 358
2 LOCAL SOLUTIONS 359 2.1 CONSTRUCTION OF LOCAL SOLUTIONS 359 2.2
NONNEGATIVITY OF LOCAL SOLUTIONS 361 3 GLOBAL SOLUTIONS 362 3.1 A PRIORI
ESTIMATES FROM BELOW 362 3.2 A PRIORI ESTIMATES FOR SOBOLEV NORMS 363
3.3 GLOBAL SOLUTION 365 3.4 GLOBAL NORM ESTIMATES 366 4 DYNAMICAL SYSTEM
366 4.1 CONSTRUCTION OF DYNAMICAL SYSTEM 366 4.2 EXPONENTIAL ATTRACTORS
367 4.3 SQUEEZING PROPERTY OF 5(I) 367 5 INSTABILITY OF HOMOGENEOUS
STATIONARY SOLUTION 367 5.1 LOCALIZED PROBLEM 368 5.2 COMPLEXIFIED
DYNAMICAL SYSTEM 368 5.3 UNSTABLE MANIFOLD OF *7 369 NOTES AND FURTHER
RESEARCHES 370 10 BELOUSOV-ZHABOTINSKII REACTION MODELS 373 1
FIELD-NOYES MODEL 374 2 LOCAL SOLUTIONS 374 2.1 CONSTRUCTION OF LOCAL
SOLUTIONS 374 2.2 NONNEGATIVITY OF LOCAL SOLUTIONS 376 3 GLOBAL
SOLUTIONS 377 3.1 A PRIORI ESTIMATES OF LOCAL SOLUTIONS 377 3.2 GLOBAL
EXISTENCE 379 3.3 GLOBAL NORM ESTIMATE 379 4 DYNAMICAL SYSTEM 379 4.1
CONSTRUCTION OF DYNAMICAL SYSTEM 379 4.2 EXPONENTIAL ATTRACTORS 379 5
KEENER-TYSON MODEL 380 6 LOCAL SOLUTIONS 382 6.1 CONSTRUCTION OF LOCAL
SOLUTIONS 382 6.2 NONNEGATIVITY OF LOCAL SOLUTIONS 383 7 GLOBAL
SOLUTIONS 383 7. XII CONTENTS 9.3 CASE WHERE / U (M,II) 0 387 9.4 CASE
WHERE 0 F U (U,V) 1 388 NOTES AND FURTHER RESEARCHES 389 11 FOREST
KINEMATIC MODEL 391 1 MODEL EQUATIONS 391 2 LOCAL SOLUTIONS 392 2.1
ABSTRACT FORMULATION 392 2.2 CONSTRUCTION OF LOCAL SOLUTIONS 393 2.3
NONNEGATIVITY OF LOCAL SOLUTIONS 394 3 GLOBAL SOLUTIONS 395 3.1 A PRIORI
ESTIMATES FOR LOCAL SOLUTIONS 395 3.2 GLOBAL SOLUTIONS 398 3.3 GLOBAL
NORM ESTIMATES 398 4 DYNAMICAL SYSTEM 400 4.1 LYAPUNOV FUNCTION 400 4.2
-LIMIT SETS 403 4.3 CONSTITUENTS OF Z^-W-LIMIT SETS 405 4.4 CASES WHERE
A H AND WHERE AB 2 3(C + *)... 405 4.5 NUMERICAL EXAMPLES 408 5
HOMOGENEOUS STATIONARY SOLUTION 409 5.1 LOCALIZED PROBLEM IN A
NEIGHBORHOOD OF O 410 5.2 SPECTRUM OF S(R) O 411 5.3 STABILITY AND
INSTABILITY OF O 412 NOTES AND FURTHER RESEARCHES 414 12 CHEMOTAXIS
MODELS 417 1 CHEMOTAXIS MODEL WITHOUT PROLIFERATION 418 1.1 ABSTRACT
FORMULATION 419 1.2 CONSTRUCTION OF LOCAL SOLUTIONS 420 1.3
NONNEGATIVITY OF LOCAL SOLUTIONS 422 2 CONTENTS XIII 4.4 SPECTRUM
SEPARATION CONDITION OF A 438 4.5 STABILITY OR INSTABILITY CONDITIONS
441 NOTES AND FURTHER RESEARCHES 442 13 TERMITE MOUND BUILDING MODEL 445
1 MODEL EQUATIONS 445 2 LOCAL SOLUTIONS 446 2.1 ABSTRACT FORMULATION 446
2.2 CONSTRUCTION OF LOCAL SOLUTIONS 447 2.3 NONNEGATIVITY OF LOCAL
SOLUTIONS 449 3 GLOBAL SOLUTIONS 450 3.1 A PRIORI ESTIMATES FOR LOCAL
SOLUTIONS 450 3.2 CONSTRUCTION OF GLOBAL SOLUTIONS 455 3.3 GLOBAL NORM
ESTIMATES 455 4 DYNAMICAL SYSTEM 457 4.1 CONSTRUCTION OF DYNAMICAL
SYSTEM 457 4.2 BOUNDED ABSORBING SET 458 4.3 GLOBAL ATTRACTOR 458 4.4
EXPONENTIAL ATTRACTORS 460 5 INSTABILITY OF HOMOGENEOUS STATIONARY
SOLUTION 463 5.1 LOCALIZED PROBLEM 464 5.2 COMPLEXIFIED DYNAMICAL SYSTEM
464 5.3 DIFFERENTIABILITY OF F(U) . . . . ^_ 465 5.4 SPECTRUM SEPARATION
CONDITION OF A 465 5.5 STABILITY AND INSTABILITY CONDITIONS 469 NOTES
AND FURTHER RESEARCHES 470 14 ADSORBATE-INDUCED PHASE TRANSITION MODEL
471 1 MODEL EQUATIONS 472 2 LOCAL SOLUTIONS 472 2.1 ABSTRACT FORMULATION
472 2.2 BASIC PROPERTIES OF A(U) 474 2.3 CONSTRUCTION OF LOCAL SOLUTIONS
475 2. XIV CONTENTS 2 LOCAL SOLUTIONS 489 2.1 ABSTRACT FORMULATION 489
2.2 BASIC PROPERTIES OF OPERATORS A(U) 490 2.3 CONSTRUCTION OF LOCAL
SOLUTIONS 492 2.4 SOME REGULARITY PROPERTIES 493 2.5 NONNEGATIVITY OF
LOCAL SOLUTIONS 494 3 A PRIORI ESTIMATES FOR LOCAL SOLUTIONS 495 3.1
CASE WHERE (15.16) IS VALID 495 3.2 CASE WHERE (15.17) IS VALID 505 4
GLOBAL SOLUTIONS 511 4.1 GLOBAL SOLUTIONS 511 4.2 GLOBAL NORM ESTIMATES
512 5 DYNAMICAL SYSTEM 513 5.1 CONSTRUCTION OF DYNAMICAL SYSTEM 513 5.2
EXPONENTIAL ATTRACTORS 514 6 INSTABILITY OF HOMOGENEOUS STATIONARY
SOLUTION 514 6.1 LOCALIZED PROBLEM 514 6.2 DYNAMICAL SYSTEM OF LOCALIZED
PROBLEM 517 6.3 DIFFERENTIABILITY OF A(U) ....._ 521 6.4 SPECTRUM
SEPARATION CONDITION OF A 521 6.5 INSTABILITY OF U 524 NOTES AND FURTHER
RESEARCHES 524 16 CHARACTERIZATION OF DOMAINS OF FRACTIONAL POWERS 527 1
DOMAINS OF FRACTIONAL POWERS IN HUBERT SPACES 527 1.1 CASE OF
SELF-ADJOINT OPERATORS 527 1.2 BOUNDED H X FUNCTIONAL CALCULUS 529 1.3
INTEGRABLE CONDITION ALONG CONTOUR 532 1.4 EQUIVALENCE THEOREM 532 1.5
COUNTEREXAMPLE 537 2 SOME RESULT ON MATRIX OPERATORS 540 3 DOMAINS OF
FRACTIONAL POWERS IN BANACH SPACES 542 3.
|
| any_adam_object | 1 |
| author | Yagi, Atsushi 1951- |
| author_GND | (DE-588)14027247X |
| author_facet | Yagi, Atsushi 1951- |
| author_role | aut |
| author_sort | Yagi, Atsushi 1951- |
| author_variant | a y ay |
| building | Verbundindex |
| bvnumber | BV035904674 |
| callnumber-first | Q - Science |
| callnumber-label | QA377 |
| callnumber-raw | QA377.3 |
| callnumber-search | QA377.3 |
| callnumber-sort | QA 3377.3 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 560 |
| ctrlnum | (OCoLC)499059053 (DE-599)DNB997432667 |
| dewey-full | 515.3534 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.3534 |
| dewey-search | 515.3534 |
| dewey-sort | 3515.3534 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV035904674 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:07:05Z |
| institution | BVB |
| isbn | 9783642046308 9783642046315 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018762057 |
| oclc_num | 499059053 |
| open_access_boolean | |
| owner | DE-384 DE-11 DE-19 DE-BY-UBM DE-703 DE-824 DE-188 DE-83 |
| owner_facet | DE-384 DE-11 DE-19 DE-BY-UBM DE-703 DE-824 DE-188 DE-83 |
| physical | XVIII, 581 S. graph. Darst. 235 mm x 155 mm |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer monographs in mathematics |
| spelling | Yagi, Atsushi 1951- Verfasser (DE-588)14027247X aut Abstract parabolic evolution equations and their applications Atsushi Yagi Berlin [u.a.] Springer 2010 XVIII, 581 S. graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Differential equations, Parabolic Evolution equations Parabolische Differentialgleichung (DE-588)4173245-5 gnd rswk-swf Evolutionsgleichung (DE-588)4129061-6 gnd rswk-swf Nichtlineare Diffusionsgleichung (DE-588)4171749-1 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 s Evolutionsgleichung (DE-588)4129061-6 s Nichtlineare Diffusionsgleichung (DE-588)4171749-1 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018762057&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yagi, Atsushi 1951- Abstract parabolic evolution equations and their applications Differential equations, Parabolic Evolution equations Parabolische Differentialgleichung (DE-588)4173245-5 gnd Evolutionsgleichung (DE-588)4129061-6 gnd Nichtlineare Diffusionsgleichung (DE-588)4171749-1 gnd |
| subject_GND | (DE-588)4173245-5 (DE-588)4129061-6 (DE-588)4171749-1 |
| title | Abstract parabolic evolution equations and their applications |
| title_auth | Abstract parabolic evolution equations and their applications |
| title_exact_search | Abstract parabolic evolution equations and their applications |
| title_full | Abstract parabolic evolution equations and their applications Atsushi Yagi |
| title_fullStr | Abstract parabolic evolution equations and their applications Atsushi Yagi |
| title_full_unstemmed | Abstract parabolic evolution equations and their applications Atsushi Yagi |
| title_short | Abstract parabolic evolution equations and their applications |
| title_sort | abstract parabolic evolution equations and their applications |
| topic | Differential equations, Parabolic Evolution equations Parabolische Differentialgleichung (DE-588)4173245-5 gnd Evolutionsgleichung (DE-588)4129061-6 gnd Nichtlineare Diffusionsgleichung (DE-588)4171749-1 gnd |
| topic_facet | Differential equations, Parabolic Evolution equations Parabolische Differentialgleichung Evolutionsgleichung Nichtlineare Diffusionsgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018762057&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT yagiatsushi abstractparabolicevolutionequationsandtheirapplications |