Remark on local solvability of the Cauchy problem for semirelativistic equations

Nonexistence of local solutions to the Cauchy problem of semirelativistic equations with power type nonlinearity is shown in scale subcritical and one space dimension case. The nonexistence result is obtained by a transformation of semirelativistic equations and a test function method with test func...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 432; no. 2; pp. 744 - 748
Main Author Fujiwara, Kazumasa
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.12.2015
Subjects
Nonexistence of local solutions
Semirelativistic equation
Test function method
Nonexistence of local solutions
Semirelativistic equation
Test function method
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Summary:Nonexistence of local solutions to the Cauchy problem of semirelativistic equations with power type nonlinearity is shown in scale subcritical and one space dimension case. The nonexistence result is obtained by a transformation of semirelativistic equations and a test function method with test functions which cancel the highest order derivatives.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2015.07.009