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2005年04月28日

【期刊论文】On continuous solutions of a generalized Cauchy-Riemann system with more than one singularity

戴道清， Heinrich Begehr a， * and Dao-Qing Dai b，

J. Differential Equations 196(2004)67-90，-0001，（）：

-1年11月30日

摘要

We study the solvability of the Riemann-Hilbert problem for a generalized Cauchy-Riemann system with several singularities and reveal several new phenomenon. For the number of continuous solutions we shall show that it depends not only on the index but also on the location and type of the singularities; moreover, it does not depend continuously on the coefﬁcients of the equation.

Boundary value problem， Singular coefﬁcient， Generalized analytic function， A priori estimate， Continuous solution

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2005年04月28日

【期刊论文】ORTHONORMAL POLYNOMIAL WAVELETS ON THE INTERVAL

戴道清， DAO-QING DAI AND WEI LIN

，-0001，（）：

-1年11月30日

摘要

We use special functions and orthonormal wavelet basis on the real line to construct wavelet-like basis. With these wavelets we can construct polynomial basis on the interval, moreover we can use them to the numerical resolution of degenerate elliptic operators.

Chebyshev polynomials,， Riesz basis,， wavelets,， degenerate elliptic operator.，

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戴道清邀请

中山大学，广东

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