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arxiv: 1211.0453 · v1 · pith:R7VIPDGCnew · submitted 2012-11-02 · 🧮 math.AP

A modified test function method for damped waves

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keywords exponentfunctionmethodmodifiedresultstestcriticaldamped
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In this paper we use a modified test function method to derive nonexistence results for the semilinear wave equation with time-dependent speed and damping. The obtained critical exponent is the same exponent of some recent results on global existence of small data solution.

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