38 citations · 123 across the 12 of their papers we have counts for
13 papers
On the -theory of -semigroups associated with second-order elliptic operators with complex singular coefficients
A. F. M. ter Elst, Vitali Liskevich, Zeev Sobol +1
We study -theory of second-order elliptic divergence type operators with complex measurable coefficients. The major aspect is that we allow complex coefficients in the main pa…
Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls
Marius Ghergu, Vitali Liskevich, Zeev Sobol
We study the existence and nonexistence of positive singular solutions to second-order non-divergence type elliptic inequalities with measurable coefficients. We prove the existenc…
Estimates of solutions for the parabolic -Laplacian equation with measure via parabolic nonlinear potentials
Vitali Liskevich, Igor I. Skrypnik, Zeev Sobol
For weak solutions to the evolutional -Laplace equation with a time-dependent Radon measure on the right hand side we obtain pointwise estimates via a nonlinear parabolic potent…
Pointwise estimates for solutions of singular quasi-linear parabolic equations
Vitali Liskevich, Igor I. Skrypnik
For a class of singular divergence type quasi-linear parabolic equations with a Radon measure on the right hand side we derive pointwise estimates for solutions via the nonlinear W…
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 , , in , , with a singul…
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…