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On the stabilization of the norm of the solution of a mixed problem for parabolic equations of the fourth and sixth orders in an unbounded domain. (English. Russian original) Zbl 1073.35100
Sb. Math. 195, No. 3, 413-440 (2004); translation from Mat. Sb. 195, No. 3, 115-142 (2004).
The paper under review is concerned with the behavior of the solutions of boundary value problems for higher order parabolic equations in an unbounded domain, when $$t\to \infty$$. Under suitable conditions, the authors give several estimates on the solutions . Finally, the sharpness of those estimates has been proved.

##### MSC:
 35K35 Initial-boundary value problems for higher-order parabolic equations 35B35 Stability in context of PDEs 35B40 Asymptotic behavior of solutions to PDEs 35B45 A priori estimates in context of PDEs
sharp estimates
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