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- W2892080357 abstract "We consider weakly coupled systems of semilinear viscoelastic wave equations with different power source nonlinearities in $mathbb{R}^n$, $ngeq1$ as follows: begin{equation*} left{begin{aligned} &u_{tt}-Delta u+gastDelta u+u_t=|partial_t^{ell}v|^p, &v_{tt}-Delta v+gastDelta v+v_t=|partial_t^{ell}u|^q, end{aligned}right. end{equation*} with $ell=0,1$ and $p,q>1$. After presenting $L^m-L^r$ estimates with $1leq mleq rleq infty$ of solutions to the corresponding linearized problem with vanishing right-hand side, we prove the existence of global in time solutions to the weakly coupled systems, where the initial data are supposed to belong to different $L^r$ spaces with different additional $L^m$ regularities." @default.
- W2892080357 created "2018-09-27" @default.
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- W2892080357 date "2018-09-20" @default.
- W2892080357 modified "2023-09-27" @default.
- W2892080357 title "An application of $L^m-L^r$ estimates to weakly coupled systems of semilinear viscoelastic wave equations" @default.
- W2892080357 hasPublicationYear "2018" @default.
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