Abstract
We study parabolic equations of divergent form with degeneracy λ(x) with respect to the space variable. We establish an a priori estimate of the Hölder norm of generalized solutions. The problem is considered in parabolic cylinders having a special time dimension induced by the degeneracy λ(x).
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Kolodii, I.M., Verba, I.I. An A Priori Estimate for the Modulus of Continuity of a Generalized Solution of a Parabolic Equation of Divergent Form with Degeneracy. Ukrainian Mathematical Journal 53, 214–228 (2001). https://doi.org/10.1023/A:1010408818758
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DOI: https://doi.org/10.1023/A:1010408818758