ENERGY ESTIMATE FOR WAVE EQUATIONS WITH COEFFICIENTS IN SOME BESOV TYPE CLASS

被引：0

作者：

Tarama, Shigeo ^{[1
]}

机构：

[1] Osaka City Univ, Grad Sch Engn, Lab Appl Math, Osaka 5588585, Japan

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年

关键词：

Wave equation; energy estimate; non regular coefficients;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain an energy estimate for wave equations with coefficients satisfying Besov type conditions. We give an example of a wave equation with continuous and nowhere differentiable coefficients for which the L-2 estimate holds.

引用

页数：12

共 9 条

[1] On the optimal regularit of coefficients in hyperbolic Cauchy problems [J].

Colombini, F ;

Del Santo, D ;

Reissig, M .

BULLETIN DES SCIENCES MATHEMATIQUES, 2003, 127 (04) :328-347

[2] HYPERBOLIC OPERATORS WITH NON-LIPSCHITZ COEFFICIENTS [J].

COLOMBINI, F ;

LERNER, N .

DUKE MATHEMATICAL JOURNAL, 1995, 77 (03) :657-698

[3]

Colombini F., 1979, Ann. Scuola Norm. Sup. Pisa Cl. Sci, V6, P511

[4]

DESIMON L, 1974, ANN SC NORM SUP PISA, V1, P131

[5] On the Cauchy problem for second order strictly hyperbolic equations with non-regular coefficients [J].

Hirosawa, F .

MATHEMATISCHE NACHRICHTEN, 2003, 256 :29-47

[6]

Hirosawa F, 2004, ANN SCUOLA NORM-SCI, V3, P589

[7]

HOrmander L., 1969, Linear Partial Differential Operators, V3rd

[8]

Katznelson Y, 2004, INTRO HARMONIC ANAL, DOI DOI 10.1017/CBO9781139165372

[9]

YAMAZAKI T, 1990, COMMUN PART DIFF EQ, V15, P1029

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