微分方程式の漸近解析と超局所解析
著者
書誌事項
微分方程式の漸近解析と超局所解析
(数理解析研究所講究録, 1211)
京都大学数理解析研究所, 2001.6
- タイトル別名
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Asymptotic analysis and microlocal analysis of PDE
- タイトル読み
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ビブン ホウテイシキ ノ ゼンキン カイセキ ト チョウ キョクショ カイセキ
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注記
「微分方程式の漸近解析と超局所解析」研究会集会報告集(2000年10月17日-10月20日): 研究代表者、戸瀬信之
収録内容
- 1-2: Operator algebras with hierarchies of symbols / B.-W. Schulze
- 3: Asymptotic expansions for solutions to semiliner Fuchsian equations / Ingo Witt
- 4: Asymptotic algebras / Ingo Witt
- 5: Edge Sobolev spaces, weakly hyperbolic equations, and branching of singularities / Michael Dreher, Ingo Witt
- 6: Mild solutions to the discrete Boltzmann equation with linear and quadratic terms for the initial data with locally finite entropy / 山崎満
- 7: The microlocal smoothing effect for Schrödinger type operators in Gevrey classes / 梶谷邦彦, Giovanni Taglialatela
- 8: Irregularities of microhyperbolic operators / 打越敬祐
- 9: Hartogs' phenomena for microfunctions with holomorphic parameters / Otto Liess, 岡田靖則、戸瀬信之
- 10: Solvability of a class of differential equations in the sheaf of microfunctions with holomorphic prameters / 片岡清臣、船越正太
- 11: Microlocalization of topological boundary value morphism and regular-specializable systems / 山崎晋
- 12: A sharp existence and uniqueness theorem for linear Fuchsian partial diffrential equations / Jose Ernie C. Lope
- 13: On the singular solutions of onlinear singular partial differential equations / 田原秀俊
- 14: Existence of singulrar solutions with bounds of linear partial differential equations in the complex domain / 大内忠
- 15: An elementary approach to the microsupport-theory of holomorphic solution complexes for εχ- and εRχ-modules / 片岡清臣
- 16: 調和関数のFourier-Ehrenpreis積分表示 / 山根英司
- 17: Singularities of the Bergman kernel and Newton polyhedra / 神本丈
- 18: Explicit formulas for the reproducing kernels of the space of harmonic polynomials in the case of real rank 1 / 和田涼子
- 19: Construction of hyperfunction solutions to invariant linear differential equations / 室政和
- 20: Unimodal 例外型特異点における代数的局所コホモロジー類 / 中村弥生、田島慎一
- 21: A new proof of Carlson's theorem by Plana's summation formula / 吉野邦生、諏訪将範
- 22: Gevrey asymptotic theory for singular 1st order linear PDE / 日比野正樹
- 23: The Borel sum of divergent Barnes hypergeometric series and its application to a partial differential equation / 市延邦夫
- 24: Vanishing theorems in hyperasymptotic analysis / 真島秀行
- 25: On the exact WKB analysis for operators admitting infinitely many phases / 青木貴史,河合隆裕、小池達也 竹井義次