LOCAL WELL-POSEDNESS AND ILL-POSEDNESS ON THE EQUATION OF TYPE □u = uk((e)u)α |
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Authors: | Fang Daoyuan WANG CHENGBO |
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Abstract: | This paper undertakes a systematic treatment of the low regularity local wellposedness and ill-posedness theory in Hs andHs for semilinear wave equations with polynomial nonlinearity in u and (e)u. This ill-posed result concerns the focusing type equations with nonlinearity on u and (e)tu. |
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Keywords: | Semilinear wave equation Low regularity Local well-posedness Ill-posedness |
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