文章详细信息 关键词： 热传导方程;;混合边值问题;;形式级数解;;古典解 [gap=301]Keywords: heat conduction equation;mixed boundary value;formal series solutions;classical solutions
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Applications to the boundary value problems for the impulsive parabolic partial differential equations, we obtain the existence results ofω-periodic classical solutions.
四、将所得的抽象结果运用到了含脉冲的抛物型偏微分方程的边值问题上,从而获得了该问题的ω-周期古典解的存在性结果。
参考来源 - Banach空间脉冲发展方程周期解的单调迭代方法This paper deals with the asymptotic behavior of global classical solutions to qua-silinear hyperbolic systems of diagonal form with weakly linearly degenerate characteristic fields.
本文主要研究具有弱线性退化特征的对角型拟线性双曲组整体经典解的渐近行为。
参考来源 - 对角型拟线性双曲组整体经典解的渐近行为·2,447,543篇论文数据，部分数据来源于NoteExpress
Local existence, global existence and nonexistence of classical solutions for a degenerate and strongly coupled quasilinear parabolic system were studied.
研究一类强耦合拟线性退化抛物方程组初边值问题正古典解的局部存在、全局存在与非全局存在性。
In this paper, the local estimates for the classical solutions of a class of equations and systems in divergence form is obtained by certain kind of function.
文中利用某类函数，得到了一类非线性散度型方程及方程组古典解的局部估计。
In particular, for the case of small initial data with compact support, the author gives the life-span of classical solutions and its application to nonlinear wave equations.
特别地，对紧支集小初值的情况，给出了经典解的生命区间及其在非线性波动方程中的应用。
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