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Gradient flows in metric spaces and in the space of probability measures / par Ambrosio,, Luigi. Publication : [berlin.] Birkhuser Basel 2005 . 341 p. , The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion. Particular emphasis is given to the convergence of the implicit time discretization method and to the error estimates for this discretization, extending the well established theory in Hilbert spaces. The book is split in two main parts that can be read independently of each other. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Nonlinear evolution equations par Zheng,, Songmu. Publication : [S.l.] Chapman and Hall/CRC 2004 . 304 p. , Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science. This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques. These include the semigroup method, the compactness and monotone operator methods, the monotone iterative method and invariant regions, the global existence and uniqueness theory for small initial data, and the asymptotic behavior of solutions and global attractors. Many of the results are published in book form for the first time. Bibliographic comments in each chapter provide the reader with references and further reading materials to enable further research and study. 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (2),

Nonlinear functional evolutions in banach spaces par Ha, Ki Sik. Publication : Dordrecht Springer 2010 . x-352 p. , There are many problems in partial differential equations with delay which arise from physical models with delay, biochemical models with delay and diffused population with delay. Some of them can be considered as nonlinear functional evolutions in appropriate infinite dimensional spaces. While other publications in the same field have treated linear functional evolutions and nonlinear functional evolutions in finite dimensional spaces, this book is one of the first to give a detailed account of the recent state of the theory of nonlinear functional evolutions associated with multi-valued operators in infinite dimensional real Banach spaces. The techniques developed for nonlinear evolutions in real Banach spaces are applied in this book. This book will benefit graduate students and researchers working in such diverse fields as mathematics, physics, biochemistry, and sociology who are interested in the development and application of nonlinear functional evolutions. This volume will also be useful as supplementary reading for biologists and engineers. 23 cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Nonlinear theory of pseudodifferential equations on a half-line / par Hayashi, Nakao. Publication : . 1 online resource (xix, 340 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444515698,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=194,

Spectral transform and solitons : tools to solve and investigate nonlinear evolution equations / par Calogero, F. Publication : . 1 online resource (v. <1>) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444863683,  http://www.sciencedirect.com/science/publication?issn=01682024&volume=13,

Bilinear transformation method / par Matsuno, Yoshimasa. Publication : . 1 online resource (viii, 223 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780124804807,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=174,

Approximation of nonlinear evolution systems / par Jerome, Joseph W. Publication : . 1 online resource (xx, 280 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780123846808,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=164,

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