| 一类双重退化抛物方程初边值问题局部解的存在性 |
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| 引用本文： | 丛树强,谢丛波. 一类双重退化抛物方程初边值问题局部解的存在性[J]. 大连民族学院学报, 2008, 10(3): 250-253 |
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| 作者姓名： | 丛树强 谢丛波 |
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| 作者单位： | 大连民族学院,理学院,辽宁,大连,116605 |
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| 摘 要： | 主要研究了一类非线性双重退化抛物方程初边值问题。由于方程的退化性，文中首先运用正则化的方法将其正则化，然后基于文中对近似解的若干估计得到该问题局部解存在性的结论。该结论将相关文献的主要结果推广到了更一般的情形。
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| 关 键 词： | 双重退化抛物方程 初边值问题 正则化 |
Existence of Local Solutions to a Class of Doubly Degenerate Parabolic Equations with Initial-boundary Value Conditions |
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| CONG Shu-qiang,XIE Cong-bo. Existence of Local Solutions to a Class of Doubly Degenerate Parabolic Equations with Initial-boundary Value Conditions[J]. Journal of Dalian Nationalities University, 2008, 10(3): 250-253 |
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| Authors: | CONG Shu-qiang XIE Cong-bo |
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| Affiliation: | CONG Shu - qiang, XIE Cong - bo (College of Science, Dalian Nationalities University, Dalian Liaoning 116605, China) |
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| Abstract: | This paper deals with the initial-boundary value problems for a class of doubly degenerate parabolic equations.Owing to the degeneracy of the equation,we regularized the equations firstly,then obtained the existence of local-in-time weak solutions based on some suitable estimates on the approximate solutions.The conclusion generalizes the main results in the corresponding references cited in the paper. |
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| Keywords: | doubly degenerate parabolic equation initial-boundary value problem regularization |
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