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

Hikmat I. Ahmadov

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

Mathematical Physics 2007-05-23 v1 math.MP

Authors: Hikmat I. Ahmadov

Abstract

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.

Keywords

cauchy problem second order parabolic equation schrodinger type degeneration existence of solution integral representation

Cite

@article{arxiv.math-ph/0510098,
  title  = {On solvability of the Cauchy problem for second order parabolic equation degenerating in Schrodinger types},
  author = {Hikmat I. Ahmadov},
  journal= {arXiv preprint arXiv:math-ph/0510098},
  year   = {2007}
}

Comments

3 pages, LaTeX2e, Baku State University, Azerbaijan

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