EVOLUTION-EQUATIONS - CAUCHY-PROBLEM

被引：0

作者：

COUCHOURON, JF

机构：

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1994年 / 319卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This Note mainly uses results of [1]. It presents a general framework of time dependence in Cauchy problem, PC (A, u0, f), extending the classical situation of omega-accretivity, as certain authors have done in more restrictive frameworks (cf. [2] and [3]). The results obtained, especially a convergence-theorem of discrete approximations, are analogous with those proved in accretivity.

引用

页码：133 / 136

页数：4

共 50 条

[1] CAUCHY-PROBLEM FOR ABSTRACT EVOLUTION-EQUATIONS OF PARABOLIC TYPE
KAWATSU, S
[J]. JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1990, 30 (01): : 59 - 91
[2] FREDHOLM DETERMINANTS AND THE CAUCHY-PROBLEM OF A CLASS OF NONLINEAR EVOLUTION-EQUATIONS
KATO, Y
[J]. PROGRESS OF THEORETICAL PHYSICS, 1987, 78 (02): : 198 - 213
[3] ON A NECESSARY CONDITION FOR THE WELL-POSEDNESS OF THE CAUCHY-PROBLEM FOR EVOLUTION-EQUATIONS
SADAMATSU, T
[J]. JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1989, 29 (02): : 221 - 231
[4] CLASSICAL NON-LINEAR EVOLUTION-EQUATIONS, CAUCHY-PROBLEM AND SCATTERING
GINIBRE, J
[J]. PHYSICA A, 1984, 124 (1-3): : 327 - 345
[5] SOLVABILITY OF THE CAUCHY-PROBLEM FOR PARABOLIC-TYPE EVOLUTION-EQUATIONS WITH DEGENERACY IN CERTAIN SPACES
GORODETSKII, VV
ZHITARYUK, IV
[J]. DIFFERENTIAL EQUATIONS, 1992, 28 (08) : 1118 - 1125
[6] NECESSARY AND SUFFICIENT CONDITIONS FOR THE SOLVABILITY OF A CAUCHY-PROBLEM FOR SOME CLASSES OF NONLINEAR EVOLUTION-EQUATIONS
BUBNOV, BA
[J]. DIFFERENTIAL EQUATIONS, 1989, 25 (01) : 20 - 25
[7] NECESSARY CONDITIONS FOR EVOLUTION-EQUATIONS SUCH THAT THE CAUCHY-PROBLEM IS WELL POSED IN CLASSES OF C(INFINITY) FUNCTIONS
KITAGAWA, K
[J]. JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1991, 31 (01): : 1 - 32
[8] THE CAUCHY-PROBLEM FOR EINSTEINS EQUATIONS
TEMCHIN, AN
[J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII FIZIKA, 1983, 26 (03): : 111 - 115
[9] ON THE CAUCHY-PROBLEM FOR EINSTEIN EQUATIONS
TEMCHIN, AN
[J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII FIZIKA, 1980, (09): : 32 - 34
[10] THE CAUCHY-PROBLEM FOR THE ISHIMORI EQUATIONS
SOYEUR, A
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1992, 105 (02) : 233 - 255

← 1 2 3 4 5 →