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Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations in 1+4 dimensions | Sigmund Selberg
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13 Dec 2000 | Subject: | Analysis of PDEs MSC-class: 35Q40; 35L70 | math.AP | Abstract: | We prove that the Maxwell-Klein-Gordon equations on $R^{1+4}$ relative to the Coulomb gauge are locally well-posed for initial data in $H^{1+epsilon}$ for all $epsilon > 0$. This builds on previous work by Klainerman and Machedon who proved the corresponding result for a model problem derived from the Maxwell-Klein-Gordon system by ignoring the elliptic features of the system, as well as cubic terms. | Source: | arXiv, math.AP/0101120 | Services: | Forum | Review | PDF | Favorites |
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