Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3613

 Title: Remark on the Global Non-Existence of Semirelativistic Equations with Non-Gauge Invariant Power Type Nonlinearity with Mass Authors: Fujiwara, Kazumasa Keywords: Semirelativistic equationblowupfractional derivative Issue Date: 2019 Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences Citation: Pliska Studia Mathematica Bulgarica, Vol. 30, No 1, (2019), 71p-84p Abstract: 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. URI: http://hdl.handle.net/10525/3613 ISSN: 0204-9805 Appears in Collections: 2019 Volume 30

Files in This Item:

File Description SizeFormat