Ates of the rate of stabilization of solutions of exterior mixed problems for a class of evolution systems

B. V. Kapitonov

Sbornik. Mathematics, Tome 76 (1993) no. 2, pp. 331-359

Résumé

A study is made of the behavior for large time of solutions of the exterior mixed problem for the evolution system $$ u_{tt}+A(x,D_x)u=0, $$ where $A(x,D_x)$ is a strongly elliptic operator of order $2l$ ($ l\geqslant1$). Sharp estimates are obtained for certain weighted norms of the solutions as $t\to\infty$.

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