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INITIAL BOUNDARY VALUE PROBLEMS FOR PARABOLIC EQUATIONS IN LIPSCHITZ CYLINDERS

INITIAL BOUNDARY VALUE PROBLEMS FOR PARABOLIC EQUATIONS IN LIPSCHITZ CYLINDERS
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摘要 The initial-Dirichlet and initial-Neumann problems in Lipschitz cylinders are studied forthe general second order parabolic equations of constant coefficients with squarely integrableboundary data. By layer potential method developed in the past decade, the author provesthat the double layer potential and the single layer potential operators are invertible and henceobtains the solvability of the initial boundsry value problems. Also, the solutions can berepresented by these operators.
作者 GAO WENJIE
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1994年第1期43-52,共10页 数学年刊(B辑英文版)
关键词 Nonsmooth domains Initial boundary value problems Parabolic equations. 不光滑域 初边界值问题 抛物线 微分方程
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