THE ONE-DIMENSIONAL NONLINEAR HEAT-EQUATION WITH ABSORPTION - REGULARITY OF SOLUTIONS AND INTERFACES

被引：48

作者：

HERRERO, MA ^{[1
]}

VAZQUEZ, JL ^{[1
]}

机构：

[1] UNIV AUTONOMA MADRID,DIV MATEMAT,E-28049 MADRID,SPAIN

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1987年 / 18卷 / 01期

关键词：

D O I：

10.1137/0518011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：149 / 167

页数：19

共 50 条

[1] COMPARISON OF NUMERICAL-SOLUTIONS OF A ONE-DIMENSIONAL NONLINEAR HEAT-EQUATION
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[J]. COMMUNICATIONS IN APPLIED NUMERICAL METHODS, 1991, 7 (03): : 233 - 240
[2] THE PERSISTENCE OF LOGCONCAVITY FOR POSITIVE SOLUTIONS OF THE ONE-DIMENSIONAL HEAT-EQUATION
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[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1990, 48 : 246 - 263
[3] Regularity of the interfaces with sign changes of solutions of the one-dimensional porous medium equation
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[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 178 (01) : 1 - 59
[4] SINGULAR SOLUTIONS OF THE HEAT-EQUATION WITH ABSORPTION
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[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 95 (02) : 205 - 210
[5] A PROBLEM OF MEASUREMENT OF TEMPERATURE SOLVED USING THE ONE-DIMENSIONAL HEAT-EQUATION
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[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1993, 36 (04) : 1043 - 1048
[6] ON ONE FAMILY OF EXACT-SOLUTIONS OF THE MULTIDIMENSIONAL NONLINEAR HEAT-EQUATION
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[J]. USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1985, 25 (02): : 91 - 94
[7] CLASSIFICATION OF SINGULAR SOLUTIONS OF A NONLINEAR HEAT-EQUATION
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[J]. DUKE MATHEMATICAL JOURNAL, 1989, 58 (03) : 601 - 615
[8] CLASSIFICATION OF SINGULAR SOLUTIONS OF A NONLINEAR HEAT-EQUATION
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[9] A NOTE ON APPROXIMATE CONTROLLABILITY FOR SEMI-LINEAR ONE-DIMENSIONAL HEAT-EQUATION
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[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 1982, 8 (03): : 275 - 285
[10] ANALYSIS OF SOME FULLY-DISCRETE ALGORITHMS FOR THE ONE-DIMENSIONAL HEAT-EQUATION
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