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Mathematics > Analysis of PDEs

arXiv:1809.10103 (math)
[Submitted on 26 Sep 2018]

Title:Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part

Authors:Wenhui Chen, Alessandro Palmieri
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Abstract:In this work we determine the critical exponent for a weakly coupled system of semilinear wave equations with distinct scale-invariant lower order terms, when these terms make both equations in some sense parabolic-like. For the blow-up result the test functions method is applied, while for the global existence (in time) results we use L2-L2 estimates with additional L1 regularity.
Comments: 19 pages
Subjects: Analysis of PDEs (math.AP)
MSC classes: 35L52 (Primary), 35B33, 35B44 (Secondary)
Cite as: arXiv:1809.10103 [math.AP]
  (or arXiv:1809.10103v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1809.10103
Related DOI: https://doi.org/10.1007/s00033-019-1112-4

Submission history

From: Alessandro Palmieri [view email]
[v1] Wed, 26 Sep 2018 16:24:56 UTC (54 KB)
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