BulDML at Institute of Mathematics and Informatics: Remark on the Global Non-Existence of Semirelativistic Equations with Non-Gauge Invariant Power Type Nonlinearity with Mass

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BulDML at Institute of Mathematics and Informatics >
IMI >
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Pliska Studia Mathematica Bulgarica >
2019 Volume 30 >

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 equation blowup fractional 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

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