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Synopsis
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)
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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PARTIAL DIFFERENTIAL EQUATIONS III
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Partial Differential Equations III
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Springer International Publishing AG, 2023
ISBN 10 : 3031339274
ISBN 13 : 9783031339271
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Couverture rigide
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HRD. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur GB-9783031339271
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Partial Differential Equations III: Nonlinear Equations (Applied Mathematical Sciences, 117)
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Partial Differential Equations III: Nonlinear Equations (Volume 117)
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Partial Differential Equations : Nonlinear Equations
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Partial Differential Equations III: Nonlinear Equations (Volume 117)
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Partial Differential Equations III: Nonlinear Equations (Volume 117)
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Partial Differential Equations III
Edité par
Springer International Publishing, 2023
ISBN 10 : 3031339274
ISBN 13 : 9783031339271
Neuf
Couverture rigide
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Gebunden. Etat : New. Three volumes offer complete reference to PDE sIncludes both theory and applicationsLots of examples and exercisesMichael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.The third of thr. N° de réf. du vendeur 859348157
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Partial Differential Equations III : Nonlinear Equations
Edité par
Springer International Publishing, 2023
ISBN 10 : 3031339274
ISBN 13 : 9783031339271
Neuf
Couverture rigide
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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). N° de réf. du vendeur 9783031339271
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Partial Differential Equations III
Edité par
Springer International Publishing Nov 2023, 2023
ISBN 10 : 3031339274
ISBN 13 : 9783031339271
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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) 780 pp. Englisch. N° de réf. du vendeur 9783031339271
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