Boundary-value problems for a nonlinear hyperbolic equation with divergent part and L,vy Laplacian

被引：3

作者：

Feller, M. N. ^{[1
]}

机构：

[1] Resource Sci Res Inst, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2012年 / 64卷 / 02期

关键词：

Hilbert Space; Ordinary Differential Equation; Wave Equation; Cauchy Problem; Differentiable Function;

D O I：

10.1007/s11253-012-0644-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose an algorithm for the solution of the boundary-value problem U (0; x) D u(0); U (t; 0) D u(1) and the external boundary-value problem U(0; x) D v0; U(t; x) fi fi fi _ D v1; lim parallel to x parallel to k (H -> infinity) U(t; x) D nu(2) for the nonlinear hyperbolic equation [GRAPHICS] with divergent part and infinite-dimensional Levy Laplacian Delta(L).

引用

页码：273 / 281

页数：9

共 6 条

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[2]

[Альбеверио Сержио А Albeverio Sergio A], 2010, [Математические заметки, Mathematical Notes, Matematicheskie zametki], V87, P803, DOI 10.4213/mzm4744

[3] BOUNDARY-VALUE PROBLEMS FOR THE WAVE EQUATION WITH LEVY LAPLACIAN IN THE GATEAUX CLASS [J].

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UKRAINIAN MATHEMATICAL JOURNAL, 2009, 61 (11) :1839-1852

[4]

Feller M. N., 2005, THE LEVY LAPLACIAN

[5]

Levy P., 1951, Problemes Concrets d'Analyse Fonctionnelle

[6]

Shilov G. E., 1967, FUNKT ANAL PRIL, V1, P81

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