GEOMETRICAL PROPERTIES OF THE SOLUTIONS OF ONE-DIMENSIONAL NONLINEAR PARABOLIC EQUATIONS

被引：23

作者：

GALAKTIONOV, VA ^{[1
]}

VAZQUEZ, JL ^{[1
]}

机构：

[1] MV KELDYSH APPL MATH INST,MOSCOW 125047,RUSSIA

来源：

MATHEMATISCHE ANNALEN | 1995年 / 303卷 / 04期

关键词：

D O I：

10.1007/BF01461014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：741 / 769

页数：29

共 28 条

[1] THE ZERO-SET OF A SOLUTION OF A PARABOLIC EQUATION [J].

ANGENENT, S .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1988, 390 :79-96

[2]

[Anonymous], [No title captured]

[3] EVENTUAL C-INFINITY-REGULARITY AND CONCAVITY FOR FLOWS IN ONE-DIMENSIONAL POROUS-MEDIA [J].

ARONSON, DG ;

VAZQUEZ, JL .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1987, 99 (04) :329-348

[4] REGULARITY PROPERTIES OF FLOWS THROUGH POROUS MEDIA [J].

ARONSON, DG .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1969, 17 (02) :461-&

[5] SIMILARITY SOLUTIONS OF NONLINEAR DIFFUSION EQUATION [J].

ATKINSON, FV ;

PELETIER, LA .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1974, 54 (04) :373-392

[6] THE CONTINUOUS DEPENDENCE ON PHI OF SOLUTIONS OF UT-DELTA-PHI(U)=0 [J].

BENILAN, P ;

CRANDALL, MG .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1981, 30 (02) :161-177

[7] CONCAVITY OF SOLUTIONS OF THE POROUS-MEDIUM EQUATION [J].

BENILAN, P ;

VAZQUEZ, JL .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 299 (01) :81-93

[8] SOLUTIONS OF THE POROUS-MEDIUM EQUATION IN RN UNDER OPTIMAL CONDITIONS ON INITIAL VALUES [J].

BENILAN, P ;

CRANDALL, MG ;

PIERRE, M .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1984, 33 (01) :51-87

[9]

Brezis H, 1973, LECT NOTES MATH, V5

[10] THE BALANCE BETWEEN STRONG REACTION AND SLOW DIFFUSION [J].

DEPABLO, A ;

VAZQUEZ, JL .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1990, 15 (02) :159-183

← 1 2 3 →