二阶Schrodinger型退化抛物方程Cauchy问题的可解性
On solvability of the Cauchy problem for second order parabolic equation degenerating in Schrodinger types
摘要：
研究了二阶抛物型方程在半轴$t \in [0, \infty)$的某个有限部分$[t_0, t_1] \subset [0, \infty)$上的抛物型Cauchy问题，并将其退化为在同一半轴的其余部分上的Schrodinger型Cauchy问题.在一定条件下证明了解的存在性，并构造了显式积分表示。
英文摘要：
The Cauchy problem is investigated for the parabolic type in the some finite part $[t_0, t_1] \subset [0, \infty)$ of the semi axis $t \in [0, \infty)$ and degenarated to Schrodinger type in the remain part of the same semi axes the second order parabolic equation. The existence of the solution is proved under some conditions on the data and the explicit integral representation is constructed.
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