Asymptotic behavior of the solution of the first initial-boundary value problem for equations of the Sobolev type from the viewpoint of oscillations. (English. Russian original) Zbl 1244.35009
Differ. Equ. 48, No. 2, 202-213 (2012); translation from Differ. Uravn. 48, No. 2, 196-206 (2012).
Summary: We study the large-time behavior of solutions of the first initial-boundary value problem for partial differential equations of the Sobolev type. We find conditions under which the derivatives of solutions are either oscillating or stabilize to zero.
MSC:
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 46E35 | Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems |
References:
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