Semi-global C1 solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems

被引：90

作者：

Li, TT ^{[1
]}

Jin, Y ^{[1
]}

机构：

[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2001年 / 22卷 / 03期

关键词：

semi-global C-1 solution; mixed initial-boundary value problem; quasilinear hyperbolic system;

D O I：

10.1142/S0252959901000334

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By means of an equivalent invariant form of boundary conditions, the authors get the existence and uniqueness of semi-global C-1 solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems with general nonlinear boundary conditions.

引用

页码：325 / 336

页数：12

共 10 条

[1]

[Anonymous], 1994, RES APPL MATH

[2]

[Anonymous], 1985, DUKE U MATH SERIES

[3] BOUNDARY CONTROLLABILITY OF NONLINEAR HYPERBOLIC SYSTEMS [J].

CIRINA, M .

SIAM JOURNAL ON CONTROL, 1969, 7 (02) :198-&

[4]

CIRINA M, 1970, MICH MATH J, V17, P193

[5] FORMATION OF SINGULARITIES IN ONE-DIMENSIONAL NONLINEAR-WAVE PROPAGATION [J].

JOHN, F .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1974, 27 (03) :377-405

[6]

LI T., 1981, CHIN ANN MATH, V2, P65

[7] Global exact controllability of a class of quasilinear hyperbolic systems [J].

Li, TS ;

Zhang, BY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 225 (01) :289-311

[8] Semi-global C1 solution and exact boundary controllability for reducible quasilinear hyperbolic systems [J].

Li, TT ;

Rao, B ;

Jin, Y .

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2000, 34 (02) :399-408

[9]

LI TT, 1994, COMMUN PART DIFF EQ, V19, P1263

[10] Semi-global C1 solution and exact boundary controllability for reducible quasilinear hyperbolic systems [J].

Li, TT ;

Rao, BP ;

Jin, Y .

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2000, 330 (03) :205-210

← 1 →