一类非线性波动方程的经典解

IF 0.7 Q4 MECHANICS

Theoretical and Applied Mechanics Pub Date : 2021-01-01 DOI:10.2298/tam201123013g

S. Georgiev, K. Mebarki, K. Zennir

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引用次数: 0

摘要

研究了一类双曲型非线性偏微分方程的初值问题。应用一种新的拓扑方法来证明非平凡非负解的存在性。更准确地说，我们提出了所考虑的初值问题解的一种新的积分表示，并利用这种积分表示建立了所考虑的一类非线性波动方程经典解的存在性。

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Classical solutions for a class of nonlinear wave equations

We study a class of initial value problems subject to nonlinear partial differential equations of hyperbolic type. A new topological approach is applied to prove the existence of nontrivial nonnegative solutions. More precisely, we propose a new integral representation of the solutions for the considered initial value problems and using this integral representation we establish existence of classical solutions for the considered classes of nonlinear wave equations.

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来源期刊

Theoretical and Applied Mechanics MECHANICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

32 weeks

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