书目名称 | Nonlinear Partial Differential Equations in Geometry and Physics |
副标题 | The 1995 Barrett Lec |
编辑 | Garth Baker,Alexandre Freire |
视频video | |
丛书名称 | Progress in Nonlinear Differential Equations and Their Applications |
图书封面 |  |
描述 | This volume presents the proceedings of a series of lectures hosted by the Math ematics Department of The University of Tennessee, Knoxville, March 22-24, 1995, under the title "Nonlinear Partial Differential Equations in Geometry and Physics" . While the relevance of partial differential equations to problems in differen tial geometry has been recognized since the early days of the latter subject, the idea that differential equations of differential-geometric origin can be useful in the formulation of physical theories is a much more recent one. Perhaps the earliest emergence of systems of nonlinear partial differential equations having deep geo metric and physical importance were the Einstein equations of general relativity (1915). Several basic aspects of the initial value problem for the Einstein equa tions, such as existence, regularity and stability of solutions remain prime research areas today. eighty years after Einstein‘s work. An even more recent development is the realization that structures originally the context of models in theoretical physics may turn out to have introduced in important geometric or topological applications. Perhaps its emergence can be traced b |
出版日期 | Conference proceedings 1997 |
关键词 | Topology; analysis; equation; geometry; mathematical physics; model; partial differential equation |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-0348-8895-0 |
isbn_softcover | 978-3-0348-9818-8 |
isbn_ebook | 978-3-0348-8895-0Series ISSN 1421-1750 Series E-ISSN 2374-0280 |
issn_series | 1421-1750 |
copyright | Springer Basel AG 1997 |