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.
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页码：1068 / 1074
页数：6
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