In this paper, we establish the local existence and uniqueness of the solution by using regularization method. We also obtain the global existence and nonexistence. Finally, we get the blow-up rate.

本文运用正则化方法证明了一类退化抛物方程解的存在唯一性，讨论了解的全局存在性与爆破，并在一定的初值条件下得到了解的爆破速率。

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The hyper-singular numerical integral occurred in the acoustic boundary element method has been dealt with using a regularization formulation.

利用正则化关系式处理了声学边界元方法中的超奇异数值积分。

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This thesis focuses on determination of parameters in a two-dimension heat conduction equation on the MPI network parallel environment, by solving an inverse problem using the regularization method.

本文是在MPI网络并行环境中，将求解二维热物性方程参数的反问题用正则化方法结合并行遗传算法进行数值求解。

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