| 一类拟线性抛物型方程带间断初值的Cauchy问题 |
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| 引用本文： | 王学锋.一类拟线性抛物型方程带间断初值的Cauchy问题[J].上海师范大学学报(自然科学版),1991(2). |
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| 作者姓名： | 王学锋 |
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| 作者单位： | 华东师范大学数学系 |
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| 基金项目： | 国家自然科学基金资助课题. |
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| 摘 要： | 本文讨论一类拟线性抛物型方程带间断初值的 Cauehy 问题有界解的存在性、唯一性及解在间断点附近的性质。
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| 关 键 词： | 间断初值 存在性与唯一性 解在间断点附近的性质 |
The Cauchy Problem for a Class of Quasilinear parabolic Equations with Discontinuous Initial Value |
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| WANS XUEFENG.The Cauchy Problem for a Class of Quasilinear parabolic Equations with Discontinuous Initial Value[J].Journal of Shanghai Normal University(Natural Sciences),1991(2). |
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| Authors: | WANS XUEFENG |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper discusses the existence and uniqueness for the bounded solution of Cauchy problem for a class of quasilinear parabolic equations with discontinuous initial value.Moreover,the property of the solutions near the diseontinuous points is studied. |
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| Keywords: | discontinuous initial value existence and uniqueness a propery of the solutions near the discontinuous points |
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