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WANG Li-hua. Solutions to a linear wave equation with nonlinear\\[5pt] boundary conditions[J]. Journal of East China Normal University (Natural Sciences), 2009, (4): 78-81.
Citation:
WANG Li-hua. Solutions to a linear wave equation with nonlinear\\[5pt] boundary conditions[J]. Journal of East China Normal University (Natural Sciences), 2009, (4): 78-81.
WANG Li-hua. Solutions to a linear wave equation with nonlinear\\[5pt] boundary conditions[J]. Journal of East China Normal University (Natural Sciences), 2009, (4): 78-81.
Citation:
WANG Li-hua. Solutions to a linear wave equation with nonlinear\\[5pt] boundary conditions[J]. Journal of East China Normal University (Natural Sciences), 2009, (4): 78-81.
This paper was concerned with a one-dimensional linear wave equation associated with nonlinear boundary conditions. The unique local solution to the wave equation was proved to exist. The result is that the nonlinearity at the boundary causes a finite time blow up of the solution, even for small initial data. And the upper bound to the blow up time is given in the paper
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