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MR1932966 93B05 (35K50 35K57)
Doubova, Anna; Osses, A.; Puel, J.-P. Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients. A tribute to J. L. Lions. ESAIM Control Optim. Calc. Var. 8 (2002), 621–661.
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