BLOW-UP ESTIMATES FOR A NONLINEAR HYPERBOLIC HEAT-EQUATION

被引:19
作者
BELLOUT, H [1 ]
FRIEDMAN, A [1 ]
机构
[1] UNIV MINNESOTA,DEPT MATH & APPLICAT,MINNEAPOLIS,MN 55455
关键词
D O I
10.1137/0520022
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:354 / 366
页数:13
相关论文
共 20 条
[1]  
[Anonymous], 1948, ATTI SEMIN MAT FIS U
[2]   COMPLETE BLOW-UP AFTER TMAX FOR THE SOLUTION OF A SEMILINEAR HEAT-EQUATION [J].
BARAS, P ;
COHEN, L .
JOURNAL OF FUNCTIONAL ANALYSIS, 1987, 71 (01) :142-174
[3]   ON HEAT CONDUCTION AND WAVE PROPAGATION IN RIGID SOLIDS [J].
BOGY, DB ;
NAGHDI, PM .
JOURNAL OF MATHEMATICAL PHYSICS, 1970, 11 (03) :917-&
[4]  
BREEZEL J, 1966, 6TH P C THERM COND D, P237
[5]   HEAT PULSES AT LOW TEMPERATURES [J].
BROWN, JB ;
CHUNG, DY ;
MATTHEWS, PW .
PHYSICS LETTERS, 1966, 21 (03) :241-&
[6]   THE BLOW-UP BOUNDARY FOR NONLINEAR-WAVE EQUATIONS [J].
CAFFARELLI, LA ;
FRIEDMAN, A .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 297 (01) :223-241
[7]   DIFFERENTIABILITY OF THE BLOW-UP CURVE FOR ONE DIMENSIONAL NONLINEAR-WAVE EQUATIONS [J].
CAFFARELLI, LA ;
FRIEDMAN, A .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1985, 91 (01) :83-98
[8]   SECOND SOUND IN SOLIDS [J].
CHESTER, M .
PHYSICAL REVIEW, 1963, 131 (05) :2013-&
[9]  
COLEMAN BD, 1983, LECTURE NOTES PHYSIC, V228, P20
[10]   THE BLOW-UP TIME FOR SOLUTIONS OF NONLINEAR HEAT-EQUATIONS WITH SMALL DIFFUSION [J].
FRIEDMAN, A ;
LACEY, AA .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1987, 18 (03) :711-721