| KIRCHHOFF TYPE EQUATIONS DEPENDING ON A SMALL PARAMETER |
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| 引用本文： | P. D''ancon,S. Spagnolo. KIRCHHOFF TYPE EQUATIONS DEPENDING ON A SMALL PARAMETER[J]. 数学年刊B辑(英文版), 1995, 16(4): 413-432 |
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| 作者姓名： | P. D''ancon S. Spagnolo |
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| 作者单位： | Departmellt of Mathematics，Pisa University Pisa，Italy |
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| 摘 要： | ＫＩＲＣＨＨＯＦＦＴＹＰＥＥＱＵＡＴＩＯＮＳＤＥＰＥＮＤＩＮＧＯＮＡＳＭＡＬＬＰＡＲＡＭＥＴＥＲ￥Ｐ．Ｄ＇ＡＮＣＯＮＡＳ．ＳＰＡＧＮＯＬＯ（ＤｅｐａｒｔｍｅｌｌｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＰｉｓａＵｎｉｖｅｒｓｉｔｙ！Ｐｉｓａ，Ｉｔａｌｙ）Ａｂｓｔ...
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| 关 键 词： | 非线性双曲线偏微分方程 非局部函数 基尔霍夫等式 柯西问题 |
| 收稿时间： | 1995-02-14 |
KIRCHHOFF TYPE EQUATIONS DEPENDING ON A SMALL PARAMETER |
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| P. D''ancona and S. Spagnolo. KIRCHHOFF TYPE EQUATIONS DEPENDING ON A SMALL PARAMETER[J]. Chinese Annals of Mathematics,Series B, 1995, 16(4): 413-432 |
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| Authors: | P. D''ancona and S. Spagnolo |
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| Affiliation: | DepartmentofMathematics,PisaUniversity,Pisa,Italy |
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| Abstract: | The authors prove some global existence results for equations of Kirchhoff type, i.e., nonlinearstretched string with nonlocal terms, depending on a parameter. This general setting includes the known results on the Kirchhoff equation with small data. Moreover, the authors can also handle some cases of degeneracy, which escaped earlier methods. |
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| Keywords: | Nonlinear hyperbolic equations Nonlocal equations Kirchhoff equations. |
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