ON A GLOBAL IN TIME EXISTENCE THEOREM OF SMOOTH SOLUTIONS TO A NONLINEAR-WAVE EQUATION WITH VISCOSITY

被引：53

作者：

KOBAYASHI, T ^{[1
]}

PECHER, H ^{[1
]}

SHIBATA, Y ^{[1
]}

机构：

[1] BERG UNIV GESAMTHSCH WUPPERTAL,MATH FACHBEREICH,W-5600 WUPPERTAL 1,GERMANY

来源：

MATHEMATISCHE ANNALEN | 1993年 / 296卷 / 02期

关键词：

D O I：

10.1007/BF01445103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：215 / 234

页数：20

共 41 条

[1] ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1.
AGMON, S
DOUGLIS, A
NIRENBERG, L
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1959, 12 (04) : 623 - 727
[2] ON EIGENFUNCTIONS AND ON EIGENVALUES OF GENERAL ELLIPTIC BOUNDARY VALUE PROBLEMS
AGMON, S
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1962, 15 (02) : 119 - &
[3] ESTIMATES NEAR BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .2.
AGMON, S
DOUGLIS, A
NIRENBERG, L
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1964, 17 (01) : 35 - &
[4] ON THE EXISTENCE OF SOLUTIONS TO THE EQUATION UTT = UXXT + SIGMA-(UX)X
ANDREWS, G
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1980, 35 (02) : 200 - 231
[5] ON THE STRONGLY DAMPED WAVE-EQUATION - UU-DELTA-U-DELTA-UT + F(U)=0
ANG, DD
DINH, APN
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1988, 19 (06) : 1409 - 1418
[6] NONLINEAR 2ND ORDER EQUATIONS WITH APPLICATIONS TO PARTIAL-DIFFERENTIAL EQUATIONS
AVILES, P
SANDEFUR, J
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1985, 58 (03) : 404 - 427
[7] GLOBAL-SOLUTIONS OF NONLINEAR HYPERBOLIC-EQUATIONS FOR SMALL INITIAL DATA
CHRISTODOULOU, D
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1986, 39 (02) : 267 - 282
[8] MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR EQUATIONS OF NONLINEAR 1-DIMENSIONAL VISCOELASTICITY
DAFERMOS, CM
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1969, 6 (01) : 71 - &
[9] ENGLER H., 1987, CONT MATH, V64, P219
[10] SYSTEMS OF NONLINEAR-WAVE EQUATIONS WITH NONLINEAR VISCOSITY
FRIEDMAN, A
NECAS, J
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1988, 135 (01) : 29 - 55

← 1 2 3 4 5 →