解的熄灭现象是非线性抛物型方程解的一个重要性质，有着广泛的物理背景。
The extinction phenomenon of solution is one of the important qualities of nonlinear parabolic partial differential equation, as it explains comprehensive realistic backgrounds.
应用预估校正法对所形成的非线性抛物型方程进行线性化，采用追赶法进行求解。
The nonlinear parabolic equation thus formed is linearized through proofread-correct method and is solved by LU decomposition.
讨论了一类非线性抛物型方程的初边值问题解的存在性，并得出了解的存在性定理。
In this paper, the author discusses the existence of solutions to initial boundary value problem of nonlinear parabolic equations and obtains the existence theorem.
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