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.
Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part
Palmieri A.
2019-01-01
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.File in questo prodotto:
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