Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (11): 1503-1516 .doi: https://doi.org/10.1007/s10483-007-1110-z
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姚锋平, 周蜀林
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YAO Feng-ping, ZHOU Shu-lin
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Abstract: Global Schauder estimates for the initial-value parabolic problem of the bi-harmonic type are proved, and the existence and uniqueness of the solutions in the suitable space are obtained. Similarly to the second-order case, first a formal expression of solutions by the Fourier transform is obtained, and then the regularity, uniqueness and existence of solutions using the potential theory and approximation argument are got. out approach is simple and straightforward.
中图分类号:
O175.26
35A05
35K25
35G05
姚锋平;周蜀林. Schauder estimates for parabolic equation of bi-harmonic type[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(11): 1503-1516 .
YAO Feng-ping;ZHOU Shu-lin. Schauder estimates for parabolic equation of bi-harmonic type[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(11): 1503-1516 .
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链接本文: https://www.amm.shu.edu.cn/CN/10.1007/s10483-007-1110-z
https://www.amm.shu.edu.cn/CN/Y2007/V28/I11/1503
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