Smooth solution of the dirichlet problem for a quasilinear hyperbolic equation of the second order

被引：0

作者：

Mitropol'skii Yu.A. ^{[1
]}

Khoma N.G. ^{[2
]}

Khoma S.G. ^{[2
]}

机构：

[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

来源：

Ukrainian Mathematical Journal | 2000年 / 52卷 / 7期

关键词：

Exact Solution; Dirichlet Problem; Smooth Solution; Hyperbolic Equation; Quasilinear Equation;

D O I：

10.1023/A:1005277616733

中图分类号：

学科分类号：

摘要：

On the basis of the exact solution of the linear Dirichlet problem utt - uxx = f(x, t), u(0, t) = u(π, t) = 0, u(x, 0) = u(x, 2π) = 0, 0 ≤ x ≤ π, 0 ≤ t < 2π, we obtain conditions for the solvability of the corresponding Dirichlet problem for the quasilinear equation utt - uxx = f(x, t, u, ut). Copyright 2000 Plenum Publishing Corporation.

引用

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页码：1068 / 1074

页数：6

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