## Asymptotic behaviour for $$t\to+\infty$$ of the solution of the Riquier problem.(Russian)Zbl 0825.35015

The temporal behaviour for $$t\to+\infty$$ of the solution of the Riquier problem is studied for the equation $$U_ t=(-1)^{\nu-1}\Delta^ \nu U$$ in the exterior of the sufficiently smooth and closed contour $$\Gamma$$ with a positive curvature. It is proved that the solution of the problem behaves for $$t\to+\infty$$ as the solution of the corresponding Cauchy problem.

### MSC:

 35B40 Asymptotic behavior of solutions to PDEs 35K35 Initial-boundary value problems for higher-order parabolic equations
Full Text: