Local solvability and blowup of the solution of the Rosenau-Bürgers equation with different boundary conditionsстатья
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Дата последнего поиска статьи во внешних источниках: 7 декабря 2013 г.
Аннотация:We consider several models of initial boundary-value problems for the Rosenau-Bürgers equation with different boundary conditions. For each of the problems, we prove the unique local solvability in the classical sense, obtain a sufficient condition for the blowup regime, and estimate the time of the solution decay. The proof is based on the well-known test-function method.