Concerns with the nonexistence of global solutions to the initial boundary value problem for a nonlinear hyperbolic equation with material damping.

考虑了一类具材料阻尼的非线性双曲型方程初边值问题整体解的不存在性。

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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。

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In this paper, the nonexistence of global solutions to a semi-linear Kirchhoff equation with dynamic boundary conditions is considered.

考虑了一类具材料阻尼的非线性双曲型方程初边值问题整体解的不存在性。

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In this paper, we establish the local existence and uniqueness of the solution by using regularization method. We also obtain the global existence and nonexistence. Finally, we get the blow-up rate.

本文运用正则化方法证明了一类退化抛物方程解的存在唯一性，讨论了解的全局存在性与爆破，并在一定的初值条件下得到了解的爆破速率。

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In this paper, we establish the local existence and uniqueness of the solution by using regularization method. We also obtain the global existence and nonexistence. Finally, we get the blow-up rate.

本文运用正则化方法证明了一类退化抛物方程解的存在唯一性，讨论了解的全局存在性与爆破，并在一定的初值条件下得到了解的爆破速率。

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