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
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).
Ukr. Mat. Zh. - 1989. - 41, № 7. - pp. 979-984