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標題Title: STRICHARTZ ESTIMATES AND MAXIMAL OPERATORS FOR THE WAVE EQUATION IN R3
作者Authors: MARIUS BECEANU AND MICHAEL GOLDBERG
上傳單位Department: 電子工程系
上傳時間Date: 2012-12-8
上傳者Author: 傅俊結
審核單位Department: 電子工程系
審核老師Teacher: 傅俊結
檔案類型Categories: 論文Thesis
關鍵詞Keyword: strichartz estimate,well-posedness,wave equation
摘要Abstract: Abstract. We prove sharp Strichartz-type estimates in three dimensions, in- cluding some which hold in reverse spacetime norms, for the wave equation with potential. These results are also tied to maximal operator estimates studied by Rogers–Villaroya, of which we prove a sharper version.
As a sample application, we use these results to prove the local well- posedness and the global well-posedness for small initial data of semilinear wave equations in R3 with quintic or higher monomial nonlinearities.

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2012_12_4c1927c9.pdf 363Kb pdf 114 24
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