Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 30, No 1, (2019), 71p-84p
The non-existence of global solutions for semirelativistic equations with nongauge 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. 2010 Mathematics Subject Classification: 35Q40.