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A note on global well-posedness and blow-up of some semilinear evolution equations

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  • We investigate the initial value problems for some semilinear wave, heat and Schrödinger equations in two space dimensions, with exponential nonlinearities. Using the potential well method based on the concepts of invariant sets, we prove either global well-posedness or finite time blow-up.
    Mathematics Subject Classification: Primary: 35Q55.

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