2018
Том 70
№ 8

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An A Priori Estimate for the Modulus of Continuity of a Generalized Solution of a Parabolic Equation of Divergent Form with Degeneracy

Kolody I. M., Verba I. I.

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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).

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 2, pp 214-228.

Citation Example: Kolody 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 // Ukr. Mat. Zh. - 2001. - 53, № 2. - pp. 190-202.

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