Remark on local solvability of the Cauchy problem for semirelativistic equations

[摘要] 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. (C) 2015 Elsevier Inc. All rights reserved.

[发布日期] 2015-12-15

[关键词] Semirelativistic equation;Nonexistence of local solutions;Test function method