Cauchy problem of semi-linear parabolic equations with weak data in homogeneous space and applicatio

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：yufengdong

【摘要】

：

In this paper we study the Cauchy problem for a class of semi-linear parabolic type equations withweak data in the homogeneous spaces. We give a method which ca

【作者】

：

MIAO Changxing(苗长兴)

【机构】

：

InstituteofAppliedPhysicsandComputationalMathematics

【出处】

：

中国科学：数学英文版

【发表日期】

：

2003年5期

【关键词】

：

Cauchy problem parabolic equation Naiver-Stokes equation ADMISSIBLE quintuple

【基金项目】

：

国家自然科学基金，国家重点基础研究发展计划(973计划)

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In this paper we study the Cauchy problem for a class of semi-linear parabolic type equations withweak data in the homogeneous spaces. We give a method which can be used to construct local mild solutionsof the abstract Cauchy problem in Cσ,s,p and Lq([O,

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Cauchy problem of semi-linear parabolic equations with weak data in homogeneous space and applicatio

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