ONE REMARK ON BARELY Ḣp SUPERCRITICAL WAVE EQUATIONS
نویسنده
چکیده
We prove that a good Ḣp critical theory for the 3D wave equation ∂ttu − △u = −|u|p−1u can be extended to prove global well-posedness of smooth solutions of at least one 3D barely Ḣp supercritical wave equation ∂ttu −△u = −|u|p−1ug(|u|), with g growing slowly to infinity, provided that a Kenig-Merle type condition is satisfied. This result extends those [26, 18] obtained for the particular case sp = 1.
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تاریخ انتشار 2009