| 非线性临界p-双调和抛物型方程解的存在性 |
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| 引用本文： | 王永达.非线性临界p-双调和抛物型方程解的存在性[J].贵州大学学报(自然科学版),2010,27(1):3-5. |
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| 作者姓名： | 王永达 |
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| 作者单位： | 西北工业大学应用数学系,陕西,西安,710129 |
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| 基金项目： | 国家自然科学基金资助项目(10871157) |
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| 摘 要： | 利用Rellich不等式和Gronwall引理研究了非线性临界p-双调和抛物型方程初边值问题在λλN,p和λ≥λN,p时整体解的存在性,其中λN,p是Rellich不等式中最佳常数的倒数。证明了当参数p满足一定的条件,初值函数f属于适当的函数空间时,p-双调和抛物型方程存在整体解。
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| 关 键 词： | Rellich不等式 最佳常数 p-双调和抛物型方程 整体解 |
Existence of Solutions to the Nonlinear Critical p-Biharmonic Parabolic Equation |
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| WANG Yong-da.Existence of Solutions to the Nonlinear Critical p-Biharmonic Parabolic Equation[J].Journal of Guizhou University(Natural Science),2010,27(1):3-5. |
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| Authors: | WANG Yong-da |
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| Institution: | Department of Applied Mathematics;Northwestern Polytechnical University;Xi'an 710129;China |
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| Abstract: | The existence of global solutions to the nonlinear critical p -biharmonic parabolic equation with initial boundary value problems in λ〈λN,p and λ≥λN,p has been studied by using Rellich inequality and Gronwall lemma, where λN,p is reciprocal of the best constant in Rellich inequality. When parameter p satisfies some certain conditions and initial datafbelongs to a suitable function space, the authors have proved that the p-biharmonic parabolic equation exists global solutions. |
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| Keywords: | Rellich inequality best constant p-Biharmonic parabolic equation global solution |
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