波动方程一阶约化特征问题的估计
Estimates for the characteristic problem of the first-order reduction of the wave equation
摘要:
我们计算某些估计的解决方案的特征问题的波动方程减少到一阶,在自由的数据规定的两个横向表面,其中之一是特征。这种估计确保了在数据的小变化下解的稳定性。解的导数也存在类似的估计。
英文摘要:
We calculate certain estimates for the solution of the characteristic problem of the wave equation reduced to first order, in terms of the free data prescribed on two transverse surfaces, one of which is characteristic. Estimates of such kind ensure the stability of the solutions under small variations of the data. Similar estimates exist for the derivatives of the solution as well.
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