On the blow-up of the solution of an equation with a gradient nonlinearity |
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Authors: | M O Korpusov |
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Institution: | 1.Moscow State University,Moscow,Russia |
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Abstract: | We continue the study of a nonlinear third-order equation of the Hamilton-Jacobi type. For this equation, we consider an initial-boundary value problem in a bounded domain with smooth boundary and prove the local solvability in the strong generalized sense; in addition, we derive sufficient conditions for the blow-up in finite time and sufficient conditions for the time-global solvability. |
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