Z. Sobol

activity

20032023

most citedKolmogorov equations in infinite dimensions: Well-posedness and regularity of solutions, with applications to stochastic generalized Burgers equations

41 citations · 70 across the 13 of their papers we have counts for

collaborators

Showing 2010Show all

3 papers · 1 filter

math.AP2010

Singular solutions to the heat equations with nonlinear absorption and Hardy potentials

Vitali Liskevich, Andrey Shishkov, Zeev Sobol

We study the existence and nonexistence of singular solutions to the equation $u_{t} - Δ u - \frac{κ}{∣ x ∣ ^{2}} u + ∣ x ∣^{α} u ∣ u ∣^{p - 1} = 0$ , $p > 1$ , in $R^{N} \times [0, \infty)$ , $N \geq 3$ , with a singul…

math.AP2010★ 2 cited

Potential estimates for quasi-linear parabolic equations

Vitali Liskevich, Igor I. Skrypnik, Zeev Sobol

For a class of divergence type quasi-linear degenerate parabolic equations with a Radon measure on the right hand side we derive pointwise estimates for solutions via nonlinear Wol…

math.AP2010★ 7 cited

Gradient estimates for degenerate quasi-linear parabolic equations

Vitali Liskevich, Igor I. Skrypnik, Zeev Sobol

For a general class of divergence type quasi-linear degenerate parabolic equations with differentiable structure and lower order coefficients form bounded with respect to the Lapla…