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Wiener estimates at boundary points for parabolic equations. (English) Zbl 0601.35015

The paper is concerned with the regularity up to the boundary of weak solutions of parabolic equations on bounded domains. Using the \(\Gamma\)- capacity the continuity at a Wiener boundary point is proved and the modulus of the continuity is estimated.
Reviewer: P.Polacik

MSC:

35D10 Regularity of generalized solutions of PDE (MSC2000)
35K20 Initial-boundary value problems for second-order parabolic equations
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