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Partial differential equations: 3 Nonlinear equations

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Bibliographic Details
Main Author:	Taylor, Michael Eugene 1946- (Author)
Format:	Book
Language:	English
Published:	New York [und andere] Springer 2011
Edition:	2. ed.
Series:	Applied mathematical sciences 117
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020537603&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Item Description:	Hier auch später erschienene, unveränderte Nachdrucke
Physical Description:	XXII, 715 S. graph. Darst.
ISBN:	9781441970480 9781461427414

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adam_text	Contents Contents of Volumes I and Π .................................................. xi Preface ............................................................................ xj j i 13 Function Space and Operator Theory for Nonlinear Analysis 1 1 Lp-Sohoiev spaces .................................................. 2 2 Sobolev imbedding theorems ....................................... 4 3 Gagliardo- Nirenberg-Moser estimates ............................ 8 4 Trudinger s inequalities ............................................. 14 5 Singular integral operators on U .................................. 1.7 6 The spaces Hs p ..................................................... 24 7 /^-spectral theory of the Laplace operator ........................ 31 8 Holder spaces and Zygmund spaces ................................ 40 9 Pseudodifferential operators with rionregular symbols ............ 50 10 Paradi fferenrjal operators ........................................... 60 11 Young measures and fuzzy functions ............................... 74 12 Hardy spaces ......................................................... 86 A Variations on complex interpolation ................................ 96 References ........................................................... 102 14 Nonlinear Elliptic Equations ............................................. 105 1 A class of semilinear equations ..................................... 107 2 Surfaces with negative curvature ................................... 119 3 LocaJ solvability of nonlinear elliptic equations ...................127 4 Elliptic regularity I (interior estimates) ............................. 135 5 Isometric imbedding of Riem ami an manifolds ....................147 6 Minimal surfaces .................................................... 152 6B Second variation of area ............................................. 168 7 The minimal surface equation ...................................... 176 8 Elliptic regularity U (boundary estimates) ......................... 185 9 Elliptic regularity III (DeGiorgi-Nash Moser theory) ............ 196 10 The Drnchjet problem for quasi-linear elliptic equatjons .........208 11 Direct methods in the calculus of variations .......................222 12 Quasi-linear elliptic systems ........................................229 12B Further results on quasi-linear systems .............................244 13 Elliptic regularity IV (Krylov- Safonov estimates) ................258 viu Contents 14 Regularity for a class of completely nonlinear equations ..........273 15 Monge-Ampere equations ..........................................282 16 Elliptic equations .in two variables ..................................294 A Morrey spaces .......................................................299 В Leray-Schauder fixed-point theorems ..............................302 References ...........................................................304 15 Nonlinear Parabolic Equations 313 1 Semilinear parabolic equations .....................................314 2 Applications to harmonic maps .....................................325 3 Semilinear equations on regions with boundary ...................332 4 Reaction-diffusion equations ........................................335 5 A nonlinear Trotter product formula ................................353 6 The Stefan problem ..................................................362 7 Quasi-linear parabolic equations I ..................................376 8 Quasi-linear parabolic equations II (sharper estimates) ...........387 9 Quasi linear parabolic equations III (Nash Moser estímales) . ... 396 References ...........................................................407 16 Nonlinear Hyperbolic Equations 113 1 Quasi-Jinear, symmetric hyperbolic systems .......................414 2 Symmetnzable hyperbolic systems .................................425 3 Second order and higher-order hyperbolic systems ................432 4 Equations in the complex domain and the Cauchy- Kowalewsky theorem ................................................445 5 Compressible fluid motion ..........................................448 6 Weak solutions to scalar conservation laws; the viscosity method 457 7 Systems of conservation laws in one space variable; Riemann problems ...................................................472 8 Entropy-flux parrs and Riemann invariants .........................498 9 Global weak solutions of some 2x2 systems .....................509 10 Vibrating strings revisited ...........................................517 References ...........................................................524 17 Euler and Navier-Stokes Equations for Incompressible Fluids ......531 1 Euler s equations for ideal incompressible fluid flow ..............532 2 Existence of solutions to the Euler equations ......................542 3 Euler flows on bounded regions ....................................553 4 Navier-Sfokes equations ............................................561 5 Viscous flows on bounded regions ..................................575 6 Vanishing viscosity limits ...........................................586 7 From velocity field convergence to flow convergence .............599 A Regularity for the Stokes system on bounded domains ............605 References ...........................................................610 Couleurs їх 18 Einstein s Equations ............................................. 6.15 1 The gravitational fieJd equations ...............................6.1.6 2 Spher.ica.i.ly symmetric spacenrncs and the Schwarzschild solu;ion .....................................626 3 Stationary and static spacer.) mes ............................. 639 4 Orbits in Schwarzschild spaceiime...........................649 5 Coupled Maxwell- Bmsicm equations ............................656 6 ReJativj.stic fluids .............. ...................659 7 Gravitational collapse. ................................. 670 8 The initial vai uc problem ..................................677 9 Geometry of initial surfaces .................................687 .1.0 Time slices and their evolution ...........................699 References ........................................./05 Index ...................................................7.1.1
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spellingShingle	Taylor, Michael Eugene 1946- Partial differential equations Applied mathematical sciences
title	Partial differential equations
title_auth	Partial differential equations
title_exact_search	Partial differential equations
title_full	Partial differential equations 3 Nonlinear equations Michael E. Taylor
title_fullStr	Partial differential equations 3 Nonlinear equations Michael E. Taylor
title_full_unstemmed	Partial differential equations 3 Nonlinear equations Michael E. Taylor
title_short	Partial differential equations
title_sort	partial differential equations nonlinear equations
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Call Number:	0102 MAT 350f 2001 A 32735-3(2) Floor plan
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