C-INFINITY-REGULARITY FOR THE POROUS-MEDIUM EQUATION

被引：12

作者：

HOLLIG, K ^{[1
]}

KREISS, HO ^{[1
]}

机构：

[1] CALTECH,DIV APPL MATH,FIRESTONE LAB,PASADENA,CA 91125

来源：

MATHEMATISCHE ZEITSCHRIFT | 1986年 / 192卷 / 02期

关键词：

D O I：

10.1007/BF01179424

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：217 / 224

页数：8

共 10 条

[1] REGULARITY PROPERTIES OF FLOWS THROUGH POROUS MEDIA - A COUNTEREXAMPLE [J].

ARONSON, DG .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1970, 19 (02) :299-&

[2]

ARONSON DG, 849 LEFSCH CTR DYN S

[3] 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

[4] REGULARITY OF THE FREE-BOUNDARY FOR THE ONE-DIMENSIONAL FLOW OF GAS IN A POROUS-MEDIUM [J].

CAFFARELLI, LA ;

FRIEDMAN, A .

AMERICAN JOURNAL OF MATHEMATICS, 1979, 101 (06) :1193-1218

[5]

GURTIN M, 1984, Q APPL MATH, P345

[6] REGULARITY OF THE FREE-BOUNDARY FOR THE POROUS-MEDIUM EQUATION [J].

HOLLIG, K ;

PILANT, M .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1985, 34 (04) :723-732

[7] POROUS-MEDIUM EQUATION IN ONE DIMENSION [J].

KNERR, BF .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 234 (02) :381-415

[8]

LADYZENSKAJA GZ, 1968, TRANSLATIONS MATH MO, V23

[9]

OLEINIK OA, 1958, IZV AKAD NAUK SSSR M, V22, P667

[10] ASYMPTOTIC-BEHAVIOR AND PROPAGATION PROPERTIES OF THE ONE-DIMENSIONAL FLOW OF GAS IN A POROUS-MEDIUM [J].

VAZQUEZ, JL .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 277 (02) :507-527

← 1 →