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O. Jokhadze 《Georgian Mathematical Journal》1998,5(2):121-138
Some structural properties as well as a general three-dimensional boundary value problem for normally hyperbolic systems of
partial differential equations of first order are studied. A condition is given which enables one to reduce the system under
consideration to a first-order system with the spliced principal part. It is shown that the initial problem is correct in
a certain class of functions if some conditions are fulfilled. 相似文献
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Fangtong Wu 《偏微分方程(英文版)》1998,11(2):151-162
In this paper we consider the propagation of microlocal regularity near constant multiple characteristic or a real solution u ∈ H^s (s > m + max{μ, 2} + \frac{n}{2})or non-linear partial differential equation F(x, u,…, ∂^βu,…)_{(|β|≤m)} = 0 We will prove that the microlocal regularity ncar constant multiple characteristic of the solution u will propagate along bicharacteristic with constant multiplicity μ and have loss of smoothness up to order μ - 1 under Levi condition. 相似文献
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