1673-159X

CN 51-1686/N

DU Jiayi, MING Sen, MA Yaxian, et al. Blow-up of Solution to a Wave Equation with Damping Term and Memory Terms[J]. Journal of Xihua University(Natural Science Edition), 2022, 41(4): 104 − 107. . DOI: 10.12198/j.issn.1673-159X.4358
Citation: DU Jiayi, MING Sen, MA Yaxian, et al. Blow-up of Solution to a Wave Equation with Damping Term and Memory Terms[J]. Journal of Xihua University(Natural Science Edition), 2022, 41(4): 104 − 107. . DOI: 10.12198/j.issn.1673-159X.4358

Blow-up of Solution to a Wave Equation with Damping Term and Memory Terms

  • This paper is devoted to studying the initial boundary value problem for a wave equation with scattering damping term and combined memory terms on exterior domain. Blow-up of solution in finite time to the problem in different dimensions are proved under certain assumptions for the exponents p and q in nonlinear terms. In addition, upper bound lifespan estimates of solution in polynomial form are established by taking advantage of test function technique and iteration method.
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