線性偏微分算子分析 第4卷

內(nèi)容概要

本書(shū)共有4卷，作者是世界公認(rèn)的分析學(xué)大師。這套4卷集的經(jīng)典名著以廣義函數(shù)論為框架，論述了與偏微分方程理論有關(guān)的經(jīng)典分析和現(xiàn)代分析的核心內(nèi)容。第4卷內(nèi)容包括：拉格朗日分布和傅立葉積分算子、主型的偽微分算子、次橢圓算子、柯西問(wèn)題的惟一性、譜漸近展開(kāi)和長(zhǎng)范圍散射理論等。

書(shū)籍目錄

Introduction Chapter XXV. Lagrangian Distributions and Fourier Integral Operators   Summary     25.1. Lagrangian Distributions     25.2. The Calculus of Fourier Integral Operators     25.3. Special Cases of the Calculus， and L2 Continuity     25.4. Distributions Associated with Positive Lagrangian Ideals     25.5. Fourier Integral Operators with Complex Phase     Notes Chapter XXVI. Pseudo-Differential Operators of Principal Type   Summary     26.1. Operators with Real Principal Symbols     26.2. The Complex Involutive Case     26.3. The Symplectic Case     26.4. Solvability and Condition (ψ)     26.5. Geometrical Aspects of Condition (P)     26.6. The Singularities in N11     26.7. Degenerate Cauchy-Riemann Operators     26.8. The Nirenberg-Treves Estimate     26.9.The Nrenberg-Treves Estimate    26.10.The Singularites on One Dimensional Bicharacterstics    26.11.A Semi-Global Existence TheoremChapter XXVII.Subelliptic Operators    Summary    27.1.Defintions and Main Results    27.2.The Taylor Expansion of the Symbol    27.3.Subelliptic Operators Satsfying(P)    27.4.Local Properties of the SymbolChapter XXVIIII.Uniqueess for the Cauchy problemChapter XXIX.Spectral AsymptoticsChapter XXX.Long Range Scattering TheoryBibliographyIndexIndex of Notation

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