ON THE STABILIZATION OF SOLUTIONS OF WEAKLY COUPLED COOPERATIVE PARABOLIC SYSTEMS

©, 1994 American Mathematical Society
, , Citation M P Vishnevskiĭ 1994 Sb. Math. 77 177 DOI 10.1070/SM1994v077n01ABEH003435

1064-5616/77/1/177

Abstract

In this work it is shown that almost all solutions of weakly coupled parabolic systems either stabilize or blow up. It is also shown, under an additional condition, that almost all solutions either blow up or become componentwise monotonic, starting from some instant. Bibliography: 29 titles.

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10.1070/SM1994v077n01ABEH003435