| EXISTENCE TIME FOR SOLUTIONS OFSEMILINEAR DIFFERENT SPEED KLEIN-GORDONSYSTEM WITH WEAK DECAY DATA IN 1D |
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| 引用本文： | 方道元. EXISTENCE TIME FOR SOLUTIONS OFSEMILINEAR DIFFERENT SPEED KLEIN-GORDONSYSTEM WITH WEAK DECAY DATA IN 1D[J]. 数学物理学报(B辑英文版), 2002, 22(1): 79-98. DOI: 10.1016/S0252-9602(17)30458-7 |
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| 作者姓名： | 方道元 |
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| 作者单位： | Center for Mathematical Sciences, Zhejiang University. Hangzhou 310027, China |
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| 基金项目： | NSF of China 19671072 and partially by 19971077 |
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| 摘 要： | 0 IntroductionWe know tliat tliere are a lot Of results on the lower bouud problem for the life-span ofsolutions to the following senillinear Klein-Gordoli equationDu + u = F(u, 0tu, 0xu), x E IRa,ult=0 = Ere, (0.0.1)0tuIt=o = eu1with sluall, smootli Cauchy data.For tl1e weak decay Caucl1y data, Delort studied tl1at question witl1 periodic Cauchy data inI41. He got a lOwer bound fOr tlie tinle of eristellce. of maghtude cE--2 f fOr a general nonlinearityalld there are exau1ples showili…
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| 收稿时间： | 2000-03-13 |
EXISTENCE TIME FOR SOLUTIONS OF SEMILINEAR DIFFERENT SPEED KLEIN-GORDON SYSTEM WITH WEAK DECAY DATA IN 1D |
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| Fang Daoyuan. EXISTENCE TIME FOR SOLUTIONS OF SEMILINEAR DIFFERENT SPEED KLEIN-GORDON SYSTEM WITH WEAK DECAY DATA IN 1D[J]. Acta Mathematica Scientia, 2002, 22(1): 79-98. DOI: 10.1016/S0252-9602(17)30458-7 |
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| Authors: | Fang Daoyuan |
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| Affiliation: | Center for Mathematical Sciences. Zhejiang University. Hangzhou 310027. China |
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| Abstract: | A -4/3|log |-2 result is obtained for the existence time of solutions of semi- linear different speed Klein-Gordon system in one space dimension for weakly decaying Cauchy data, of size , in certain circumstances of nonlinearity. |
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| Keywords: | Weakly decaying Cauchy data existence time. Klein-Gordon equations with different speeds |
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