A tracing of the fractional temperature field
This paper is devoted to a study of L~q-tracing of the fractional temperature field u(t, x)—the weak solution of the fractional heat equation(?_t +(-?_x)~α)u(t, x) = g(t, x) in L~p(R_+~(1+n)) subject to the initial temperature u(0, x) = f(x) in L~p(R~n)....
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Veröffentlicht in: | Science China. Mathematics 2017-11, Vol.60 (11), p.2303-2320 |
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description | This paper is devoted to a study of L~q-tracing of the fractional temperature field u(t, x)—the weak solution of the fractional heat equation(?_t +(-?_x)~α)u(t, x) = g(t, x) in L~p(R_+~(1+n)) subject to the initial temperature u(0, x) = f(x) in L~p(R~n). |
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China Math</addtitle><addtitle>SCIENCE CHINA Mathematics</addtitle><description>This paper is devoted to a study of L~q-tracing of the fractional temperature field u(t, x)—the weak solution of the fractional heat equation(?_t +(-?_x)~α)u(t, x) = g(t, x) in L~p(R_+~(1+n)) subject to the initial temperature u(0, x) = f(x) in L~p(R~n).</description><subject>Applications of Mathematics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Temperature distribution</subject><subject>分数</subject><subject>初始温度</subject><subject>弱解</subject><subject>温度场</subject><subject>热方程</subject><subject>追踪</subject><issn>1674-7283</issn><issn>1869-1862</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp9UD1PwzAQtRBIVNAfwBbBbLB9ZzsZq4ovqRILzJabnNtUbdLa6cC_x1UqxMQN9_ne3ekxdifFoxTCPiUpUWkupOECK-Tmgk1kaSqenbrMubHIrSrhmk1T2ohsUAm0MGF8VgzR1223KvpQDGsqQi6Htu_8thhot6foh2PM7Za2zS27Cn6baHqON-zr5flz_sYXH6_v89mC14AwcCJfg9VISoG32IQShcFS5mclBVA1LvPYogjUKCzLBmiJQL6x2mgRFNywh3HvPvaHI6XBbfpjzC8lJysNEqzQVUbJEVXHPqVIwe1ju_Px20nhTsK4URiXhXEnYZzJHDVyUsZ2K4p_Nv9Duj8fWvfd6pB5v5eMBQ2IWsIP7lpukQ</recordid><startdate>20171101</startdate><enddate>20171101</enddate><creator>Shi, ShaoGuang</creator><creator>Xiao, Jie</creator><general>Science China Press</general><general>Springer Nature B.V</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20171101</creationdate><title>A tracing of the fractional temperature field</title><author>Shi, ShaoGuang ; Xiao, Jie</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c343t-eeac3754e223a74df84064811001ef32c4b375740fed2488d3eb43ead75650f23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Applications of Mathematics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Temperature distribution</topic><topic>分数</topic><topic>初始温度</topic><topic>弱解</topic><topic>温度场</topic><topic>热方程</topic><topic>追踪</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Shi, ShaoGuang</creatorcontrib><creatorcontrib>Xiao, Jie</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><jtitle>Science China. 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subjects | Applications of Mathematics Mathematics Mathematics and Statistics Temperature distribution 分数 初始温度 弱解 温度场 热方程 追踪 |
title | A tracing of the fractional temperature field |
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