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- W571739617 abstract "We prove that a good Ḣsp 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 Ḣsp-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 is related to those obtained by Tao and the author for the particular case sp=1, showing global regularity for g growing logarithmically with radial data and for g growing doubly logarithmically with general data." @default.
- W571739617 created "2016-06-24" @default.
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- W571739617 date "2012-06-25" @default.
- W571739617 modified "2023-09-23" @default.
- W571739617 title "A remark on barelyḢsp-supercritical wave equations" @default.
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- W571739617 doi "https://doi.org/10.2140/apde.2012.5.199" @default.
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