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有界区域上含对流项抛物方程的热源识别反问题
  • ISSN号：1673-5196
  • 期刊名称：《兰州理工大学学报》
  • 时间：0
  • 分类：O175.26[理学—数学;理学—基础数学]
  • 作者机构：[1]兰州理工大学理学院,甘肃兰州730050, [2]天津城市建设学院基础学科部,天津300384
  • 相关基金：国家自然科学基金（10671085）; 兰州理工大学校基金（92111 92104）的资助
作者： 杨帆[1], 万诗敏[2], 李敦刚[1], 李晓晓[1]
关键词： 对流项, 热源, 正则化, 抛物方程, 简化的Tikhonov方法, convection term, heat source, regularization, parabolic equation, simplified Tikhonov method
中文摘要：

探讨有界区域上一类含对流项抛物方程只含有空间变量的热源识别反问题.这类问题是不适定的,即问题的解不连续依赖于测量数据.利用简化的Tikhonov正则化方法,得到问题的一个正则近似解,并且给出正则解和精确解之间具有Hlder型的误差估计.

英文摘要：

The inverse problem of identifying heat source with spacial variables only in a class of parabolic equation containing convection term in a bounded domain was discussed.This problem was ill-posed,i.e.,the solution did not depend continuously on the measured data.A regular approximate solution of the inverse problem was obtained by using the simplified Tikhonov regularization method,and it was pointed out that,between the regular solution and exact solution,there was Hlder-type error estimate.

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期刊信息
  • 《兰州理工大学学报》
  • 北大核心期刊（2011版）
  • 主管单位:甘肃省教委
  • 主办单位:兰州理工大学
  • 主编：李有堂
  • 地址：甘肃省兰州市兰工坪路287号
  • 邮编：730050
  • 邮箱：journal@lut.cn
  • 电话：0931-2756301
  • 国际标准刊号：ISSN：1673-5196
  • 国内统一刊号：ISSN：62-1081/T
  • 邮发代号:54-72
  • 获奖情况:
  • 甘肃高等校优秀学术期刊,全国优秀高校自然科学学报及教育部优秀科技期刊评...,第二届国家期刊奖百种重点期刊
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  • 被引量:6651