| 一类抛物型方程弱解的正则性 |
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| 引用本文： | 狄华斐,武虔虔,龙群飞. 一类抛物型方程弱解的正则性[J]. 贵州师范大学学报(自然科学版), 2012, 30(2): 28-32 |
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| 作者姓名： | 狄华斐 武虔虔 龙群飞 |
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| 作者单位： | 云南民族大学数学与计算机科学学院,云南昆明,650500 |
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| 基金项目： | 基金项目:国家自然科学基金 |
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| 摘 要： | 对一类PDE抛物型方程初边值问题,在一定条件假设下弱解的正则性问题的研究,通过一些技巧和方法,描述了方程弱解的正则性.这些技巧和方法包括:Galerkin逼近法,解得弱收敛,sobolev不等式,内插不等式等等.
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| 关 键 词： | 抛物型方程 弱解 弱解的正则性 Galerkin逼近 |
Regularity of the weak solutions for a class of parabolic equation |
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| DI Hua-fei,WU Qian-qian,LONG Qun-fei. Regularity of the weak solutions for a class of parabolic equation[J]. Journal of Guizhou Normal University(Natural Sciences), 2012, 30(2): 28-32 |
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| Authors: | DI Hua-fei WU Qian-qian LONG Qun-fei |
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| Affiliation: | (School of Mathematics and Computer Science,Yunnan Nationalities university,Kunming,Yunnan 650500,China) |
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| Abstract: | In this paper,we discuss the regularity of the weak solution u to the initial/boundary value problem for second-order parabolic equations under certain condition assumption.Via some techniques and methods,we also show the regularity of the weak solution.These techniques and methods include Galinkin-approximation,the weak convergence of the solutions,Sobolev-inequalities,interpolation-inequality,etc. |
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| Keywords: | the parabolic equations the weak solutions the regularity of the weak solution Galinkin-approximation |
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