| Generalized solutions to the Benjamin-Ono equations in sense of Colombeau |
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| 作者姓名： | 金小刚 杨建刚 蔺杰 |
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| 作者单位： | Institute of Artificial Intelligence，College of Computer Science，Zhejiang University，Hangzhou 310027，China，Institute of Artificial Intelligence，College of Computer Science，Zhejiang University，Hangzhou 310027，China，Institute of Artificial Intelligence，College of Computer Science，Zhejiang University，Hangzhou 310027，China |
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| 基金项目： | Project supported by the National Natural Science Foundation of
China (No. 60103015) and SRF for ROCS，SEM，China |
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| 摘 要： | INTRODUCTION In the theory of partial differential equations,Schwartz distribution theory and Sobolev spacesplay a very important role. But one shortcoming ofdistribution theory, however, is its inability to solvenonlinear problems because the product of distri-butions may not be a distribution. The need to de-fine the product of distributions also arises withproblems in Dirac’s quantum theory of an elec-tromagnetic field. It is impossible to introduce anassociate multiplication i…
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Generalized solutions to the Benjamin-Ono equations in sense of Colombeau |
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| JIN Xiao-gang ?,YANG Jian-gang,LIN Jie.Generalized solutions to the Benjamin-Ono equations in sense of Colombeau[J].Journal of Zhejiang University Science,2004(11). |
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| Authors: | JIN Xiao-gang ? YANG Jian-gang LIN Jie |
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| Abstract: | This paper discusses the existence and uniqueness of the generalized solution in the sense of Colombeau to the Benjamin-Ono (B-O) equation and the relationship between the new generalized solution and the classical solution. |
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| Keywords: | B-O equation Algebra of generalized solution Hilbert transform |
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