Abstract
AbstractThis paper is concerned with the Cauchy problem for semilinear wave equation with space-dependent scattering damping and combined nonlinearities. The blowup results of solution are established by introducing proper test functions. Moreover, upper bound lifespan estimates of a solution to the Cauchy problem with small initial values are derived. To the best of our knowledge, the results in Theorems 1.1–1.2 are new.
Funder
Fundamental Research Program of Shanxi Province
Natural Science Foundation of Shanxi Province of China
Science and Technology Innovation Project of Higher Education Institutions in Shanxi
Science Foundation of North University of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
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