一类拟线性抛物方程解的爆破

The blow-up of the solution of the quasilinear parabolic equation

讨论了拟线性抛物方程具有第3类非线性边界条件混合问题解的爆破,研究了其古典解,在对混合问题中的f和g作出适当假设的前提下,证明了上述混合问题的解在有限时刻爆破.该结论放宽了对假设条件的限制.

In this paper, the blow- up of mix problem under the third nonlinear boundary condition for a kind of quasilinear parabolic equations is discused, and its classicality solution is researched. Under some hypothesis conditions to f and g ,it＇s proved that the solution of mix problem will blow up within limited time. Thus,the hypothesis conditions are extended.