Nonlinear Semigroups, Partial Differential Equations and Attractors

Nonlinear Semigroups, Partial Differential Equations and Attractors
Title Nonlinear Semigroups, Partial Differential Equations and Attractors PDF eBook
Author T.L. Gill
Publisher Springer
Pages 194
Release 2006-11-15
Genre Mathematics
ISBN 3540477918

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The original idea of the organizers of the Washington Symposium was to span a fairly narrow range of topics on some recent techniques developed for the investigation of nonlinear partial differential equations and discuss these in a forum of experts. It soon became clear, however, that the dynamical systems approach interfaced significantly with many important branches of applied mathematics. As a consequence, the scope of this resulting proceedings volume is an enlarged one with coverage of a wider range of research topics.

Nonlinear Semigroups, Partial Differential Equations and Attractors

Nonlinear Semigroups, Partial Differential Equations and Attractors
Title Nonlinear Semigroups, Partial Differential Equations and Attractors PDF eBook
Author Tepper L. Gill
Publisher Springer
Pages 242
Release 2006-11-14
Genre Mathematics
ISBN 3540466797

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Nonlinear Semigroups, Partial Differential Equations and Attractors

Nonlinear Semigroups, Partial Differential Equations and Attractors
Title Nonlinear Semigroups, Partial Differential Equations and Attractors PDF eBook
Author Tepper L. Gill
Publisher
Pages 248
Release 2014-01-15
Genre
ISBN 9783662189238

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Attractors for Semigroups and Evolution Equations

Attractors for Semigroups and Evolution Equations
Title Attractors for Semigroups and Evolution Equations PDF eBook
Author Olga A. Ladyzhenskaya
Publisher Cambridge University Press
Pages 97
Release 2022-06-09
Genre Mathematics
ISBN 1009229826

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First published 1992; Re-issued 2008; Reprinted with Introduction 2022.

Nonlinear Semigroups, Partial Differential Equations, and Attractors

Nonlinear Semigroups, Partial Differential Equations, and Attractors
Title Nonlinear Semigroups, Partial Differential Equations, and Attractors PDF eBook
Author
Publisher
Pages
Release 1987
Genre
ISBN

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Nonlinear Semigroups, Partial Differential Equations, and Attractors

Nonlinear Semigroups, Partial Differential Equations, and Attractors
Title Nonlinear Semigroups, Partial Differential Equations, and Attractors PDF eBook
Author Tepper L. Gill
Publisher Springer Verlag
Pages 185
Release 1987
Genre Mathematics
ISBN 9780387177410

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The original idea of the organizers of the Washington Symposium was to span a fairly narrow range of topics on some recent techniques developed for the investigation of nonlinear partial differential equations and discuss these in a forum of experts. It soon became clear, however, that the dynamical systems approach interfaced significantly with many important branches of applied mathematics. As a consequence, the scope of this resulting proceedings volume is an enlarged one with coverage of a wider range of research topics.

Nonlinear Dispersive Partial Differential Equations and Inverse Scattering

Nonlinear Dispersive Partial Differential Equations and Inverse Scattering
Title Nonlinear Dispersive Partial Differential Equations and Inverse Scattering PDF eBook
Author Peter D. Miller
Publisher Springer Nature
Pages 530
Release 2019-11-14
Genre Mathematics
ISBN 1493998064

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This volume contains lectures and invited papers from the Focus Program on "Nonlinear Dispersive Partial Differential Equations and Inverse Scattering" held at the Fields Institute from July 31-August 18, 2017. The conference brought together researchers in completely integrable systems and PDE with the goal of advancing the understanding of qualitative and long-time behavior in dispersive nonlinear equations. The program included Percy Deift’s Coxeter lectures, which appear in this volume together with tutorial lectures given during the first week of the focus program. The research papers collected here include new results on the focusing ​nonlinear Schrödinger (NLS) equation, the massive Thirring model, and the Benjamin-Bona-Mahoney equation as dispersive PDE in one space dimension, as well as the Kadomtsev-Petviashvili II equation, the Zakharov-Kuznetsov equation, and the Gross-Pitaevskii equation as dispersive PDE in two space dimensions. The Focus Program coincided with the fiftieth anniversary of the discovery by Gardner, Greene, Kruskal and Miura that the Korteweg-de Vries (KdV) equation could be integrated by exploiting a remarkable connection between KdV and the spectral theory of Schrodinger's equation in one space dimension. This led to the discovery of a number of completely integrable models of dispersive wave propagation, including the cubic NLS equation, and the derivative NLS equation in one space dimension and the Davey-Stewartson, Kadomtsev-Petviashvili and Novikov-Veselov equations in two space dimensions. These models have been extensively studied and, in some cases, the inverse scattering theory has been put on rigorous footing. It has been used as a powerful analytical tool to study global well-posedness and elucidate asymptotic behavior of the solutions, including dispersion, soliton resolution, and semiclassical limits.