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A note on the boundedness of solutions of linear parabolic equations

A note on the boundedness of solutions of linear parabolic equations

in a bounded domain B with boundary 9B. In this note, their method is slightly modified to prove the following theorem. Denote by D the semi-infinite cylinder I (x, t): xEB, t > } }, by D its closure and by DT the intersection of D with the half-space t …