Blowup for the nonlinear Schr\"odinger equation with an inhomogeneous damping term in the L² critical case
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🧮 math.AP
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blowupcriticaldampingequationinhomogeneousnonlinearodingerschr
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We consider the nonlinear Schr\"odinger equation with $L^2$-critical exponent and an inhomogeneous damping term. By using the tools developed by Merle and Raphael, we prove the existence of blowup phenomena in the energy space $H^1(\mathbb{R})$.
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