Abstract
ABSTRACTIn this short note, we discuss some results concerning the long-time behaviour of solutions to dissipative sine-Gordon equation in a bounded domain of . We first prove that without forcing term and under some assumptions on the domain then the global attractor reduces to . We then rewrite the sine-Gordon equation as a Schrödinger equation with smoothing; this allows us to provide another proof for the so-called asymptotical smoothing effect for this dissipative wave equation.
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