Remark on the global non-existence of semirelativistic equations with non-gauge invariant power type nonlinearity with mass
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massequationsglobalinvariantnon-existencenon-gaugenonlinearityobtained
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The non-existence of global solutions for semirelativistic equations with non-gauge invariant power type nonlinearity with mass is studied in the frame work of weighted $L^1$. In particular, a priori control of weighted integral of solutions is obtained by introducing a pointwise estimate of fractional derivative of some weight functions. Especially, small data blowup with small mass is obtained.
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