| 书目名称 | Non-Homogeneous Boundary Value Problems and Applications | | 副标题 | Volume II | | 编辑 | J. L. Lions,E. Magenes | | 视频video | | | 丛书名称 | Grundlehren der mathematischen Wissenschaften | | 图书封面 |  | | 描述 | I. In this second volume, we continue at first the study of non homogeneous boundary value problems for particular classes of evolu tion equations. 1 In Chapter 4 , we study parabolic operators by the method of Agranovitch-Vishik [lJ; this is step (i) (Introduction to Volume I, Section 4), i.e. the study of regularity. The next steps: (ii) transposition, (iii) interpolation, are similar in principle to those of Chapter 2, but involve rather considerable additional technical difficulties. In Chapter 5, we study hyperbolic operators or operators well defined in thesense of Petrowski or Schroedinger. Our regularity results (step (i)) seem to be new. Steps (ii) and (iii) are all3.logous to those of the parabolic case, except for certain technical differences. In Chapter 6, the results of Chapter‘> 4 and 5 are applied to the study of optimal control problems for systems governed by evolution equations, when the control appears in the boundary conditions (so that non-homogeneous boundary value problems are the basic tool of this theory). Another type of application, to the characterization of "all" well-posed problems for the operators in question, is given in the Ap pendix. Still ot | | 出版日期 | Book 1972 | | 关键词 | Boundary; Boundary Value Problems; Boundary value problem; Randwertproblem; Volume; addition; boundary ele | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-65217-2 | | isbn_softcover | 978-3-642-65219-6 | | isbn_ebook | 978-3-642-65217-2Series ISSN 0072-7830 Series E-ISSN 2196-9701 | | issn_series | 0072-7830 | | copyright | Springer-Verlag, Berlin · Heidelberg 1972 |
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发表于 2025-3-21 19:54:46
