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Titlebook: Non-Homogeneous Boundary Value Problems and Applications; Volume II J. L. Lions,E. Magenes Book 1972 Springer-Verlag, Berlin · Heidelberg 1

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書(shū)目名稱Non-Homogeneous Boundary Value Problems and Applications
副標(biāo)題Volume II
編輯J. L. Lions,E. Magenes
視頻videohttp://file.papertrans.cn/667/666926/666926.mp4
叢書(shū)名稱Grundlehren der mathematischen Wissenschaften
圖書(shū)封面Titlebook: Non-Homogeneous Boundary Value Problems and Applications; Volume II J. L. Lions,E. Magenes Book 1972 Springer-Verlag, Berlin · Heidelberg 1
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
關(guān)鍵詞Boundary; Boundary Value Problems; Boundary value problem; Randwertproblem; Volume; addition; boundary ele
版次1
doihttps://doi.org/10.1007/978-3-642-65217-2
isbn_softcover978-3-642-65219-6
isbn_ebook978-3-642-65217-2Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag, Berlin · Heidelberg 1972
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Hyperbolic Evolution Operators, of Petrowski and of Schroedinger. Hilbert Theory,The reading of this chapter does not require the knowledge of Chapter 4. It rests essentially on Chapter 1 and 2 and on the elements of Chapter 3.
板凳
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Applications to Optimal Control Problems,This chapter is of a somewhat different nature than the others: its sole objective is to serve as an . to the (enormous) subject of control problems for systems governed by partial differential equations, with the controls, . (mostly) .. Sections 1 through 9 rely in an essential way on Chapter 4, and the remaining sections on Chapter 5..
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Grundlehren der mathematischen Wissenschaftenhttp://image.papertrans.cn/n/image/666926.jpg
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https://doi.org/10.1007/978-3-642-65217-2Boundary; Boundary Value Problems; Boundary value problem; Randwertproblem; Volume; addition; boundary ele
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Non-Homogeneous Boundary Value Problems and Applications978-3-642-65217-2Series ISSN 0072-7830 Series E-ISSN 2196-9701
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發(fā)表于 2025-3-22 23:58:23 | 只看該作者
ted indicating how such cross-fertilization would enhance present understanding of global problems while assisting the extension of systems theory. The goal is a comprehensive conceptual model of global change which encompasses atmosphere, lithosphere, ocean, biosphere and cryosphere. The systems mo
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發(fā)表于 2025-3-23 08:35:20 | 只看該作者
J. L. Lions,E. Magenesems is listed indicating how such cross-fertilization would enhance present understanding of global problems while assisting the extension of systems theory. The goal is a comprehensive conceptual model of global change which encompasses atmosphere, lithosphere, ocean, biosphere and cryosphere. The
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