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- W2893709266 abstract "In this paper, we consider a quasilinear wave equation with memory and nonlinear source terms [u_{tt} - Delta u_t -sum^N_{i=1} frac{partial}{partial x_i} sigma_i(u_{x_i}) + int^t_0 m(t-s) Delta u ds = g(u) . ] In the absence of the nonlinear damping term, and under certain polynomial growth conditions on the nonlinear functions $sigma_i, (i= 1, 2, ..., N)$ and $g$ , we obtain existence and uniqueness of solution, using Galerkin approach and monotonicity method. The finite time blow up result was obtained using the concavity method. }" @default.
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- W2893709266 date "2018-08-31" @default.
- W2893709266 modified "2023-09-26" @default.
- W2893709266 title "ON A QUASILINEAR WAVE EQUATION WITH MEMORY AND NONLINEAR SOURCE TERMS" @default.
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