The Frankl Problems for Quasilinear Mixed Equations of Second Order with Parabolic Degeneracy

讨论了带抛物型退化线的二阶拟线性混合型方程的Frankl问题,首先给出了解的积分表示与解的先验估计,然后利用逐次迭代和参数开拓的方法,证明了问题解的存在性.The present paper deals with the Frankl problem for mixed equations of second order with parabolic degeneracy, firstly the formulation of the problem for the equations is given, next the representations and estimates of solutions for the above problem are obtained, finally the existence of solutions to the problem is proved by the successive iteration and the method of parameter extension.国家自然科学基金中文核心期刊要目总览(PKU)中国科学引文数据库(CSCD)06659-6672