Existence, blow-up and exponential decay estimates for a nonlinear wave equation with boundary conditions of two-point type
This paper is devoted to studying a nonlinear wave equation with boundary conditions of
two-point type. First, we state two local existence theorems and under the suitable
conditions, we prove that any weak solutions with negative initial energy will blow up in finite
time. Next, we give a sufficient condition to guarantee the global existence and exponential
decay of weak solutions. Finally, we present numerical results.
two-point type. First, we state two local existence theorems and under the suitable
conditions, we prove that any weak solutions with negative initial energy will blow up in finite
time. Next, we give a sufficient condition to guarantee the global existence and exponential
decay of weak solutions. Finally, we present numerical results.
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