Existence and Uniqueness Theorems for a Class of Linear Fuchsian Partial Differential Equations

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概要

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• We will consider linear Fuchsian partial differential operators of the form $\PP = (tD_t)^m + \sum_{j=0}^{m-1}\sum_{|α|\leq m-j} a_{j,α}(t,z)\cdot (μ(t)D_z)^α (tD_t)^j .$ For this class of operators, we will formulate existence and uniqueness theorems which are slightly more general than the ones obtained by Baouendi and Goulaouic in 1973. We will specify some properties of the function $μ(t)$ and assert that a property is necessary for our theorems to hold.

• 東京大学の論文

著者

• Lope Jose

  Department Of Mathematical Sophia University

関連論文

• Existence and Uniqueness Theorems for a Class of Linear Fuchsian Partial Differential Equations
• WALTER'S METHOD APPLIED TO FUCHSIAN PARTIAL DIFFERENTIAL EQUATIONS (Microlocal Analysis and Related Topics)

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