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Turkish Journal of Mathematics

DOI

10.3906/mat-1805-42

Abstract

In this paper we consider a mixed problem for the nonlinear wave equations with transmission acoustic conditions, that is, the wave propagation over bodies consisting of two physically different types of materials, one of which is clamped. We prove the existence of a global solution. Under the condition of positive initial energy we show that the solution for this problem blows up in finite time.

First Page

3211

Last Page

3231

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