Remark on the global non-existence of semirelativistic equations with non-gauge invariant power type nonlinearity with mass

Kazumasa Fujiwara

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arXiv · 1809.10202

Remark on the global non-existence of semirelativistic equations with non-gauge invariant power type nonlinearity with mass

Kazumasa Fujiwara

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Abstract

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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Kazumasa Fujiwara. 2018-09-26. Remark on the global non-existence of semirelativistic equations with non-gauge invariant power type nonlinearity with mass. https://arxiv.org/abs/1809.10202

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