书目名称 | Implicit Partial Differential Equations |
编辑 | Bernard Dacorogna,Paolo Marcellini |
视频video | http://file.papertrans.cn/463/462689/462689.mp4 |
丛书名称 | Progress in Nonlinear Differential Equations and Their Applications |
图书封面 |  |
描述 | Nonlinear partial differential equations has become one of the main tools of mod ern mathematical analysis; in spite of seemingly contradictory terminology, the subject of nonlinear differential equations finds its origins in the theory of linear differential equations, and a large part of functional analysis derived its inspiration from the study of linear pdes. In recent years, several mathematicians have investigated nonlinear equations, particularly those of the second order, both linear and nonlinear and either in divergence or nondivergence form. Quasilinear and fully nonlinear differential equations are relevant classes of such equations and have been widely examined in the mathematical literature. In this work we present a new family of differential equations called "implicit partial differential equations", described in detail in the introduction (c.f. Chapter 1). It is a class of nonlinear equations that does not include the family of fully nonlinear elliptic pdes. We present a new functional analytic method based on the Baire category theorem for handling the existence of almost everywhere solutions of these implicit equations. The results have been obtained for the mos |
出版日期 | Book 1999 |
关键词 | Boundary value problem; Lipschitz domain; approximation property; calculus; calculus of variations; nonli |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4612-1562-2 |
isbn_softcover | 978-1-4612-7193-2 |
isbn_ebook | 978-1-4612-1562-2Series ISSN 1421-1750 Series E-ISSN 2374-0280 |
issn_series | 1421-1750 |
copyright | Birkhäuser Boston 1999 |