一类非线性耗散项双曲型方程解的空间行为

IF 0.4 Q4 MATHEMATICS

Journal of Mathematical Extension Pub Date : 2020-07-22 DOI:10.30495/JME.V0I0.1453

A. Peyravi

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引用次数: 0

摘要

本文研究了具有非线性耗散项的航空弹性波动方程在asemi无限元n$维圆柱域中解的空间行为。芦苇的替代品{e}n-Lindel\“{o}f在结果中得到了类型定理。在衰变的情况下，将通过边界数据导出总能量的上限。贡献的要点是使用能量法。

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SPATIAL BEHAVIOR OF SOLUTIONS FOR A CLASS OF HYPERBOLIC EQUATIONS WITH NONLINEAR DISSIPATIVE TERMS

This paper deals with the spatial behavior of solutions for aviscoelastic wave equations with nonlinear dissipative terms in asemi-infinite $n$-dimensional cylindrical domain. An alternativeof Phragm\'{e}n-Lindel\"{o}f type theorems is obtained in theresult. In the case of decay, an upper bound will be derived forthe total energy by means of the boundary data. The main point ofthe contribution is the use of energy method.

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Journal of Mathematical Extension MATHEMATICS-

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审稿时长

24 weeks