A. Gladkov

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20142025

most citedGlobal existence of solutions of initial-boundary value problem for nonlocal parabolic equation with nonlocal boundary condition

11 citations · 12 across the 12 of their papers we have counts for

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math.AP2014★ 1 cited

Initial boundary value problem for a semilinear parabolic equation with nonlinear nonlocal boundary condition

Alexander Gladkov, Tatiana Kavitova

In this paper we consider an initial boundary value problem for a semilinear parabolic equation with nonlinear nonlocal boundary condition. We prove comparison principle, the exist…

math.AP2014

Self-similar blow-up solutions of the KPZ equation

Alexander Gladkov

In this paper we consider self-similar blow-up solutions for the generalized deterministic KPZ~equation $u_{t} = u_{xx} + λ ∣ u_{x} ∣^{q}, λ > 0, q > 2.$ The asymptotic behavior o…