LEADER 03775nam a2200481 i 4500001 99129210345506421 005 20251218210458.0 006 m o d | 007 cr#||||||||||| 008 250125s2023 sz ob 001 0 eng d 020 9783031339288 020 3031339282 024 7 10.1007/978-3-031-33928-8 |2doi 035 (CKB)29310433000041 035 (MiAaPQ)EBC31001783 035 (Au-PeEL)EBL31001783 035 (DE-He213)978-3-031-33928-8 035 (EXLCZ)9929310433000041 040 MiAaPQ |beng |erda |epn |cMiAaPQ |dMiAaPQ 050 4 QA377 |b.T395 2023 072 7 PBKJ |2bicssc 072 7 MAT007000 |2bisacsh 072 7 PBKJ |2thema 082 0 515.353 |223 100 1 Taylor, Michael E., |d1942-2005, |eauthor. 245 10 Partial Differential Equations III : |bNonlinear Equations / |cMichael E. Taylor. 250 Third edition. 264 1 Cham, Switzerland : |bSpringer, |c[2023] 264 4 |c©2023 300 1 online resource (774 pages) 336 text |btxt |2rdacontent 337 computer |bc |2rdamedia 338 online resource |bcr |2rdacarrier 490 1 Applied Mathematical Sciences Series ; |vVolume 117 504 Includes bibliographical references and index. 505 0 Contents of Volumes I and II -- Preface -- 13 Function Space and Operator Theory for Nonlinear Analysis -- 14 Nonlinear Elliptic Equations -- 15 Nonlinear Parabolic Equations -- 16 Nonlinear Hyperbolic Equations -- 17 Euler and Navier–Stokes Equations for Incompressible Fluids -- 18 Einstein’s Equations -- Index. 520 The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L^p Sobolev spaces, Holder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters. It includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids. The appendices have also been updated with additional results, ranging from weak convergence of measures to the curvature of Kahler manifolds. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC. Review of first edition: “These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted.” (Peter Lax, SIAM review, June 1998). 588 Description based on print version record. 650 0 Differential equations, Partial. 650 7 Equacions diferencials funcionals |2thub 655 7 Llibres electrònics |2thub 776 08 |z9783031339271 830 0 Applied mathematical sciences (Springer-Verlag New York Inc.) ; |vVolume 117. 906 BOOK