Kolody I. M.
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).
Estimate of the maximum of modulus of generalized solutions of the first boundary-value problem for degenerate parabolic equations
Ukr. Mat. Zh. - 1997. - 49, № 12. - pp. 1624–1637
We study parabolic equations of the divergent form with degeneration. We have obtained an estimate for the maximum of modulus of generalized solutions of the first boundary-value problem with a zero on the parabolic boundary.
Ukr. Mat. Zh. - 1989. - 41, № 7. - pp. 979-984
Ukr. Mat. Zh. - 1987. - 39, № 4. - pp. 450–457
Ukr. Mat. Zh. - 1975. - 27, № 3. - pp. 320–328