On solvability of the Cauchy problem for second order parabolic equation degenerating in Schrodinger types

Details On solvability of the Cauchy problem for second order parabolic equation degenerating in Schrodinger types On solvability of the Cauchy problem for second order parabolic equation degenerating in Schrodinger types

2005-10-31

arxiv.org/abs/math-ph/0510098v1

Physics

Mathematical Physics

3 pages, LaTeX2e, Baku State University, Azerbaijan

Scientific paper

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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