补偿紧性在奇异四阶和六阶摄动偏微分方程中的应用<sup>*</sup>

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补偿紧性在奇异四阶和六阶摄动偏微分方程中的应用^*

基金项目: * 国家教委博士后基金

摘要: 在这篇文章中,我们应用补偿紧性方法,能量方法得到了一类四阶、六阶奇异摄动微分方程解的收敛性问题,并进一步提高了解的正则性.
- 补偿紧性 /
- 能量方法 /
- 奇异摄动 /
- 解的收敛性 /
- 解的正则性
Abstract: In the paper, by using the methods of compensated compactness and energyestimate, the convergence of class of fourth and sixth orders singular perturbed. partialdifferential equations is obtained, and furthermore, the regularity of solutions is improved.
- compensated compactness /
- energy estimate /
- singular perturbation /
- convergence of solution /
- regularity of solution

[1]	B.Cassis.Compensated compactness applied to a singular perturbed fourth order P.D.E,.Comm.Partial Differential Equations.14.5(1989).619～634.
[2]	M.E.Schonbek.Convergence of solutions to nonlinear dispersive equations.Comm.Paltial Differential Equations.7.8(1982).959～1000.
[3]	L.TarTar.Compensated compactness method applied to system of conservation law,Systems of Nonlinear Partial Differemial Equations(J.M.Balled),NATO ASIS Series.C.Reidel(1983).

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