The Problem of Non-Smooth Solutions for a Type of Parabolic Complex Equations
In this paper, the problem of non-smooth properties for a type of general second order parabolic type equation is discussed and the result-------there are C∞-functions f for which we consider the equation that has no C2-solutions is proved by using a method of function construction, moreover, the dependent relations between the solution u and the diffusion term f is given.
Zhu Zhilin & Patrick Wang
G. S. Xu and Z. T. Ma, "The Problem of Non-Smooth Solutions for a Type of Parabolic Complex Equations", Applied Mechanics and Materials, Vols. 40-41, pp. 877-880, 2011