Quantized partial differential equations

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1. Verfasser: Prástaro, Agostino (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: River Edge, NJ [u.a.] World Scientific 2004
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adam_text CONTENTS Preface .............................................................. vii Quantized PDE s I: Noncommutative Manifolds ....................... 1 1.1 - Algebraic topology ............................................ 1 1.2 - Quantum algebras ............................................44 1.3 - Quantum manifolds .......................................... 63 1.4- Quantum supermanifolds .....................................88 Quantized PDE s. II: Noncommutative PDE s .......................103 2.1 - Quantum PDE s ............................................ 103 2.2 - The quantum Navier-Stokes equation ........................121 2.3 - Quantum super PDE s ...................................... 132 2.4 - The quantum super Yang-Mills equations ....................143 Quantized PDE s III: Quantizations of Commutative PDE s ......... 193 3.1 - Integral (cojbordism groups in PDE s ....................... 193 3.2 - Algebraic geometry of PDE s ................................249 3.3 - Spectral measures of PDE s .................................282 3.4 - Quantizations of PDE s .....................................311 3.5 - Covariant and canonical quantizations of PDE s .............320 Addendum I: Bordism groups and the (AT5)-problem ................377 4. 0 - Introduction ............................................... 377 4.1 - Geometry and existence theorems for (NS) ..................381 4.2 - Navier-Stokes boundary value problems ......................390 4.3 - The limit case: The Euler equation ..........................431 Addendum II: Bordism groups and variational PDE s ................435 5. 0 - Introduction ...............................................435 5.1 - Horizontal and vertical forms on PDE s ......................436 5.2 - The category of variational PDE s ...........................437 5.3 - Constrained variational sequences ...........................447 References ..........................................................461 Index ...............................................................473 ХШ
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record_format marc
spellingShingle Prástaro, Agostino
Quantized partial differential equations
Groupes quantiques
Navier-Stokes, Équations de ram
Yang-Mills, Théorie de ram
Équations aux dérivées partielles ram
Quantum groups
Partielle Differentialgleichung (DE-588)4044779-0 gnd
subject_GND (DE-588)4044779-0
title Quantized partial differential equations
title_auth Quantized partial differential equations
title_exact_search Quantized partial differential equations
title_full Quantized partial differential equations A. Prástaro
title_fullStr Quantized partial differential equations A. Prástaro
title_full_unstemmed Quantized partial differential equations A. Prástaro
title_short Quantized partial differential equations
title_sort quantized partial differential equations
topic Groupes quantiques
Navier-Stokes, Équations de ram
Yang-Mills, Théorie de ram
Équations aux dérivées partielles ram
Quantum groups
Partielle Differentialgleichung (DE-588)4044779-0 gnd
topic_facet Groupes quantiques
Navier-Stokes, Équations de
Yang-Mills, Théorie de
Équations aux dérivées partielles
Quantum groups
Partielle Differentialgleichung
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013159140&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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