Representation of solutions and regularity properties for weakly hyperbolic systems

被引：0

作者：

Kamotski, Ilia ^{[1
]}

Ruzhansky, Michael ^{[1
]}

机构：

[1] Imperial Coll, Dept Math, 180 Queens Gate, London SW7 2BZ, England

来源：

PSEUDO-DIFFERENTIAL OPERATORS AND RELATED TOPICS | 2006年 / 164卷

基金：

英国工程与自然科学研究理事会;

关键词：

hyperbolic systems; elliptic systems; spectral asymptotics; regularity of solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Regularity properties of generic hyperbolic systems with diagonalizable principal part will be established in LP and other function spaces. Sharp regularity of solutions will be discussed. Applications will be given to solutions of scalar weakly hyperbolic equations with non-involutive characteristics. Established representation of solutions and its properties allow to derive spectral asymptotics for elliptic systems with diagonalizable principal part.

引用

页码：53 / +

页数：3

共 50 条

[1] Regularity properties, representation of solutions, and spectral asymptotics of systems with multiplicities
Kamotski, Ilia
Ruzhansky, Michael
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2007, 32 (01) : 1 - 35
[2] The Cauchy problem for weakly hyperbolic systems
Colombini, F.
Metivier, Guy
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2018, 43 (01) : 25 - 46
[3] Regularity of the extremal solutions associated to elliptic systems
Cowan, Craig
Fazly, Mostafa
JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 257 (11) : 4087 - 4107
[4] Regularity of the extremal solutions associated with elliptic systems
Aghajani, A.
Cowan, C.
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2019, 149 (04) : 1037 - 1046
[5] Weakly hyperbolic systems with Holder continuous coefficients
D'Ancona, P
Kinoshita, T
Spagnolo, S
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 203 (01) : 64 - 81
[6] Indirect boundary stabilization of weakly coupled hyperbolic systems
Alabau-Boussouira, F
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2002, 41 (02) : 511 - 541
[7] On the regularity of weak solutions of certain elliptic systems
Landes, R
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2006, 25 (02) : 247 - 255
[8] Regularity for solutions to some nonlinear elliptic systems
Leonetti, Francesco
Petricca, Pier Vincenzo
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2011, 56 (12) : 1099 - 1113
[9] On the regularity of weak solutions of certain elliptic systems
Landes R.
Calculus of Variations and Partial Differential Equations, 2006, 25 (2) : 247 - 255
[10] PARTIAL REGULARITY FOR WEAK SOLUTIONS OF QUASILINEAR ELLIPTIC SYSTEMS
严树森
李工宝
ChineseScienceBulletin, 1991, (09) : 705 - 709

← 1 2 3 4 5 →