Carleman estimates for parabolic equations and applications

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Carleman estimate for a fractional diffusion equation with half order and application (2011, methodology): “Our proof is directly done by a suitable grouping of terms and integration by parts, and shares the same concept as in section 3 in [16] where parabolic equations are considered.”
A unified controllability/observability theory for some stochastic and deterministic partial differential equations (2010, background): “After [29], important works in this field can be found in [1, 4, 8, 11, 13, 17, 21, 25, 26, 43, 46, 55, 56].”
On the interplay of source conditions and variational inequalities for nonlinear ill-posed problems (2010, background): “For such proof and related results we refer to [33] and references therein.”