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We establish the pointwise continuity of bounded weak solutions to of a classof scalar parabolic equations and strongly coupled parabolic systems. Ourapproach to the regularity theory of parabolic scalar equations is quiteelementary and its applications to strongly coupled systems does not requirehigher $L^p$ integrability of derivatives.

On the Continuity of Bounded Weak Solutions to Parabolic Equations and Systems with Quadratic Growth in Gradients