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Titlebook: Linear Partial Differential Operators; Lars H?rmander Book 19631st edition Springer-Verlag OHG, Berlin · G?ttingen · Heidelberg 1963 Finit

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書(shū)目名稱(chēng)Linear Partial Differential Operators
編輯Lars H?rmander
視頻videohttp://file.papertrans.cn/587/586374/586374.mp4
叢書(shū)名稱(chēng)Grundlehren der mathematischen Wissenschaften
圖書(shū)封面Titlebook: Linear Partial Differential Operators;  Lars H?rmander Book 19631st edition Springer-Verlag OHG, Berlin · G?ttingen · Heidelberg 1963 Finit
描述The aim of this book is to give a systematic study of questions con- cerning existence, uniqueness and regularity of solutions of linear partial differential equations and boundary problems. Let us note explicitly that this program does not contain such topics as eigenfunction expan- sions, although we do give the main facts concerning differential operators which are required for their study. The restriction to linear equations also means that the trouble of achieving minimal assumptions concerning the smoothness of the coefficients of the differential equations studied would not be worth while; we usually assume that they are infinitely differenti- able. Functional analysis and distribution theory form the framework for the theory developed here. However, only classical results of functional analysis are used. The terminology employed is that of BOURBAKI. To make the exposition self-contained we present in Chapter I the elements of distribution theory that are required. With the possible exception of section 1.8, this introductory chapter should be bypassed by a reader who is already familiar with distribution theory.
出版日期Book 19631st edition
關(guān)鍵詞Finite; Operators; distribution; equation; function; functional analysis; partial differential equation; pa
版次1
doihttps://doi.org/10.1007/978-3-642-46175-0
isbn_softcover978-3-642-46177-4
isbn_ebook978-3-642-46175-0Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag OHG, Berlin · G?ttingen · Heidelberg 1963
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Linear Partial Differential Operators978-3-642-46175-0Series ISSN 0072-7830 Series E-ISSN 2196-9701
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The Cauchy problem (constant coefficients)To solve the Cauchy problem for a differential operator . (.) with data on a plane . = 0, where 0≠., means, roughly speaking, to find a solution . of the equation.where . is given, so that for another given function
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https://doi.org/10.1007/978-3-642-46175-0Finite; Operators; distribution; equation; function; functional analysis; partial differential equation; pa
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Distribution theoryllowing chapters. The reader may thus consult . [1] for a more detailed study of almost all topics discussed here. An exception is Definition 1.3.3 and the related Theorem 1.7.8, which are based on an idea of . [2] (see also . [3] and . [14]). In section 1.8 we have added a definition of distributio
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