Abstract

The Cauchy problem with localized initial conditions is considered for a large class of evolution equations that includes the Schrödinger and Dirac equations, Maxwell equations, linearized fluid dynamics equations, equations of the linear theory of surface water waves, equations of elasticity theory, acoustics equations, and many others. A general approach to the construction of efficient asymptotic formulas in such problems is discussed.

中文翻译：

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关于线性多维非均匀弥散介质中局部声源传播波传播问题的有效渐近性

摘要

对于一大类演化方程，其中包括薛定and和狄拉克方程，麦克斯韦方程，线性化流体动力学方程，地表水波线性理论方程，弹性理论方程，声学方程，还有很多其他 讨论了在此类问题中构造有效渐近公式的一般方法。